(12C Platinum) Sums of Powers of N numbers

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ALG program solution of "Sums of Powers of the Natural Numbers"

1. Arithmetic Series ( Gauss Sum )

n(n+1) / 2

2. Sum of the consecutive Squares.

n(n+1)(2n+1) / 6

3. Sum of the consecutive Cubes.

n^2(n+1)^2 / 4

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Procedure:

Nth [R/S] display Sums of Powers

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1. Gauss Sum

Code:


1 [+] [X<>Y] [x] [LSTx] [÷] 2 [=]

2. Sums of consecutive Squares

Code:


1 [+] [X<>Y] [x] [LSTx] [x] ( [LSTx] [x] 2 [+] 1 ) [÷] 6 [=]

3. Sums of consecutive Cubes

Code:


1 [+] [X<>Y] [=] [X^2] [x] [LSTx] [X^2] [÷] 4 [=]

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