001800 Geometric Sequences and Number Magnitudes

www.LinkSoftwareProgramming.com

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I designed a Python program to demonstrate several 

computational and mathematical concepts, including 

Geometric Sequences and Number Magnitudes.

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In the Decimal Number System (Base-10), numbers can 

include an Integral Part and a Fractional Part. The terms 

used to describe the integral part of a number to the left of 

the decimal point are called Number Magnitudes.

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The Geometric Sequence (also known as Geometric 

Progression) is just one type of many Sequences 

(Progressions). Other types of Sequences include:

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Power Sequences; Arithmetic Sequences; Fibonacci 

Sequences; Triangular Sequences; Mersenne Sequences; 

Arithmetic-Geometric Sequences; Tribonacci Sequences; 

Conway's Subprime Fibonacci Sequences; Pisano Period 

Sequences; Harmonic Sequences; Quadratic Sequences

Other types of sequences are listed in an article I wrote and 

posted on www.LinkSoftwareProgramming.com

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Let us say that a person was offered a 40-hour per week 

position, lasting for 1000 days (approximately 2.74 years). 

This position offers a salary where a paycheck would be 

electronically deposited into the person’s bank account 

every day. On Day 1, the check would be for 1 penny (0.01 

USD). Each day, the amount of the paycheck would be 

double that of the previous day.

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Thus:

Day 1: Paycheck is 0.01 USD. Account balance, excluding 

any spending, is 0.01 USD.

Day 2: Paycheck is 0.02 USD. Account balance, excluding 

any spending, is 0.03 USD.

Day 3: Paycheck is 0.04 USD. Account balance, excluding 

any spending, is 0.07 USD.

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The program outputs the pay check of every day and 

the accumulated deposit after depositing the daily pay 

check. The program algorithms uses Numbers 

Magnitudes to reflect the account daily balance.

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Day:  1

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Pay Check Amount: 0.01 USD

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Account Balance: 0.01 USD

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Account Balance in Whole USD (Excluding Cents):

0 USD

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Day:  2

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Pay Check Amount: 0.02 USD

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Account Balance: 0.03 USD

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Account Balance in Whole USD (Excluding Cents):

0 USD

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Day:  3

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Pay Check Amount: 0.04 USD

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Account Balance: 0.07 USD

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Account Balance in Whole USD (Excluding Cents):

0 USD

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Day:  4

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Pay Check Amount: 0.08 USD

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Account Balance: 0.15 USD

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Account Balance in Whole USD (Excluding Cents):

0 USD

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Day:  5

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Pay Check Amount: 0.16 USD

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Account Balance: 0.31 USD

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Account Balance in Whole USD (Excluding Cents):

0 USD

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Day:  6

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Pay Check Amount: 0.32 USD

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Account Balance: 0.63 USD

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Account Balance in Whole USD (Excluding Cents):

0 USD

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Day:  7

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Pay Check Amount: 0.64 USD

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Account Balance: 1.27 USD

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Account Balance in Whole USD (Excluding Cents):

1 USD

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Day:  8

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Pay Check Amount: 1.28 USD

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Account Balance: 2.55 USD

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Account Balance in Whole USD (Excluding Cents):

2 USD

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Day:  9

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Pay Check Amount: 2.56 USD

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Account Balance: 5.11 USD

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Account Balance in Whole USD (Excluding Cents):

5 USD

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Day:  10

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Pay Check Amount: 5.12 USD

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Account Balance: 10.23 USD

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Account Balance in Whole USD (Excluding Cents):

10 USD

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Day:  11

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Pay Check Amount: 10.24 USD

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Account Balance: 20.47 USD

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Account Balance in Whole USD (Excluding Cents):

20 USD

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Day:  12

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Pay Check Amount: 20.48 USD

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Account Balance: 40.95 USD

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Account Balance in Whole USD (Excluding Cents):

40 USD

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Day:  13

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Pay Check Amount: 40.96 USD

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Account Balance: 81.91 USD

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Account Balance in Whole USD (Excluding Cents):

81 USD

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Day:  14

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Pay Check Amount: 81.92 USD

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Account Balance: 163.83 USD

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Account Balance in Whole USD (Excluding Cents):

163 USD

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Day:  15

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Pay Check Amount: 163.84 USD

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Account Balance: 327.67 USD

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Account Balance in Whole USD (Excluding Cents):

327 USD

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Day:  16

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Pay Check Amount: 327.68 USD

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Account Balance: 655.35 USD

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Account Balance in Whole USD (Excluding Cents):

655 USD

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Day:  17

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Pay Check Amount: 655.36 USD

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Account Balance: 1,310.71 USD

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Account Balance in Whole USD (Excluding Cents):

1,310 USD

or about: 4

1 Thousand (003 Zeros) USD

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Day:  18

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Pay Check Amount: 1,310.72 USD

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Account Balance: 2,621.43 USD

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Account Balance in Whole USD (Excluding Cents):

2,621 USD

or about: 4

2 Thousand (003 Zeros) USD

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Day:  19

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Pay Check Amount: 2,621.44 USD

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Account Balance: 5,242.87 USD

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Account Balance in Whole USD (Excluding Cents):

5,242 USD

or about: 4

5 Thousand (003 Zeros) USD

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Day:  20

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Pay Check Amount: 5,242.88 USD

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Account Balance: 10,485.75 USD

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Account Balance in Whole USD (Excluding Cents):

10,485 USD

or about: 5

10 Thousand (003 Zeros) USD

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Day:  21

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Pay Check Amount: 10,485.76 USD

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Account Balance: 20,971.51 USD

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Account Balance in Whole USD (Excluding Cents):

20,971 USD

or about: 5

20 Thousand (003 Zeros) USD

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Day:  22

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Pay Check Amount: 20,971.52 USD

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Account Balance: 41,943.03 USD

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Account Balance in Whole USD (Excluding Cents):

41,943 USD

or about: 5

41 Thousand (003 Zeros) USD

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Day:  23

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Pay Check Amount: 41,943.04 USD

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Account Balance: 83,886.07 USD

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Account Balance in Whole USD (Excluding Cents):

83,886 USD

or about: 5

83 Thousand (003 Zeros) USD

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Day:  24

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Pay Check Amount: 83,886.08 USD

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Account Balance: 167,772.15 USD

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Account Balance in Whole USD (Excluding Cents):

167,772 USD

or about: 6

167 Thousand (003 Zeros) USD

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Day:  25

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Pay Check Amount: 167,772.16 USD

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Account Balance: 335,544.31 USD

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Account Balance in Whole USD (Excluding Cents):

335,544 USD

or about: 6

335 Thousand (003 Zeros) USD

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Day:  26

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Pay Check Amount: 335,544.32 USD

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Account Balance: 671,088.63 USD

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Account Balance in Whole USD (Excluding Cents):

671,088 USD

or about: 6

671 Thousand (003 Zeros) USD

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Day:  27

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Pay Check Amount: 671,088.64 USD

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Account Balance: 1,342,177.27 USD

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Account Balance in Whole USD (Excluding Cents):

1,342,177 USD

or about: 7

1 Million (006 Zeros) USD

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Day:  28

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Pay Check Amount: 1,342,177.28 USD

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Account Balance: 2,684,354.55 USD

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Account Balance in Whole USD (Excluding Cents):

2,684,354 USD

or about: 7

2 Million (006 Zeros) USD

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Day:  29

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Pay Check Amount: 2,684,354.56 USD

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Account Balance: 5,368,709.11 USD

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Account Balance in Whole USD (Excluding Cents):

5,368,709 USD

or about: 7

5 Million (006 Zeros) USD

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Day:  30

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Pay Check Amount: 5,368,709.12 USD

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Account Balance: 10,737,418.23 USD

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Account Balance in Whole USD (Excluding Cents):

10,737,418 USD

or about: 8

10 Million (006 Zeros) USD

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Day:  31

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Pay Check Amount: 10,737,418.24 USD

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Account Balance: 21,474,836.47 USD

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Account Balance in Whole USD (Excluding Cents):

21,474,836 USD

or about: 8

21 Million (006 Zeros) USD

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Day:  32

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Pay Check Amount: 21,474,836.48 USD

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Account Balance: 42,949,672.95 USD

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Account Balance in Whole USD (Excluding Cents):

42,949,672 USD

or about: 8

42 Million (006 Zeros) USD

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Day:  33

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Pay Check Amount: 42,949,672.96 USD

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Account Balance: 85,899,345.91 USD

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Account Balance in Whole USD (Excluding Cents):

85,899,345 USD

or about: 8

85 Million (006 Zeros) USD

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Day:  34

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Pay Check Amount: 85,899,345.92 USD

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Account Balance: 171,798,691.83 USD

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Account Balance in Whole USD (Excluding Cents):

171,798,691 USD

or about: 9

171 Million (006 Zeros) USD

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Day:  35

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Pay Check Amount: 171,798,691.84 USD

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Account Balance: 343,597,383.67 USD

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Account Balance in Whole USD (Excluding Cents):

343,597,383 USD

or about: 9

343 Million (006 Zeros) USD

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Day:  36

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Pay Check Amount: 343,597,383.68 USD

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Account Balance: 687,194,767.35 USD

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Account Balance in Whole USD (Excluding Cents):

687,194,767 USD

or about: 9

687 Million (006 Zeros) USD

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Day:  37

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Pay Check Amount: 687,194,767.36 USD

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Account Balance: 1,374,389,534.71 USD

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Account Balance in Whole USD (Excluding Cents):

1,374,389,534 USD

or about: 10

1 Billion (009 Zeros) USD

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Day:  38

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Pay Check Amount: 1,374,389,534.72 USD

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Account Balance: 2,748,779,069.43 USD

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Account Balance in Whole USD (Excluding Cents):

2,748,779,069 USD

or about: 10

2 Billion (009 Zeros) USD