Q:

This is a pre calculus question that I need help with, serious answer PLEASE and thank you! Will give brainliest.Glencoe Precalc 10-3Write an equation of the following arithmetic sequence in SIGMA NOTATION—> 1/2, 1/4, 1/8, ...... 1/64. The problem says the lower bound has been provided in these numbers...? It is in sigma notation with an upper bound and lower bound, arithmetic sequence, if you can get this thank you so much and God bless you

Accepted Solution

A:
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,[tex]\dfrac12,\dfrac14,\dfrac18,\ldots,\dfrac1{64}[/tex]which would be[tex]\dfrac12+\dfrac14+\dfrac18+\cdots+\dfrac1{64}[/tex]in sigma notation.To do this, notice that the denominator in each term is a power of 2, starting with [tex]2^1=2[/tex] and ending with [tex]2^6=64[/tex]. So in sigma notation, this series is[tex]\displaystyle\sum_{n=1}^6\frac1{2^n}[/tex]