- Prove that

*Proof.*We use properties of finite sums to compute,The second to last inequality follows from the telescoping property. But then solving for the sum we are interested in, we have

- If we have (using this, and the fact that for )

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#
Stumbling Robot

A Fraction of a Dot
#
Sum of the k-th powers of x for k = 0 to n

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### Point out an error, ask a question, offer an alternative solution (to use Latex type [latexpage] at the top of your comment):

- Prove that

*Proof.*We use properties of finite sums to compute,The second to last inequality follows from the telescoping property. But then solving for the sum we are interested in, we have

- If we have (using this, and the fact that for )

[latextype]

for part b it states that \(\sum_{k=0}^{n} 1 = n + 1\) but in the referenced solution it shows that \( \sum_{k=0}^{n}1 = n \) so why is it different?