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## Homework Statement

Verify the following summations using Maple (see image).

## Homework Equations

None

## The Attempt at a Solution

For the first one, I enter

Code:

`sum(k^3, k=1..n);`

in Maple, and the result is

1/4*(n+1)^4-1/2*(n+1)^3+1/4*(n+1)^2,

which is definitely not the answer. Why is Maple giving me these weird and incorrect answers? The question is rather simple as I am just supposed to verify these summations using a computer, but for some reason, my computer seems to be complicating things.

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