Question

This is a pre calculus question that I need help with, serious answer PLEASE and thank you! Will give brainliest.

Answer 1

The wording of this question is a bit confusing... You can't write a sequence in sigma notation, but rather a series or sum. I think the question is asking you to write the sum of the sequence,

$\dfrac12,\dfrac14,\dfrac18,\ldots,\dfrac1{64}$

which would be

$\dfrac12+\dfrac14+\dfrac18+\cdots+\dfrac1{64}$

in sigma notation.

To do this, notice that the denominator in each term is a power of 2, starting with $2^1=2$ and ending with $2^6=64$. So in sigma notation, this series is

$\displaystyle\sum_{n=1}^6\frac1{2^n}$