Question

infinite geometric series

Answer 1

You mean, what is the sum of this?

\[\[\sum_{n=1}^{\infty}\left(\frac{1}{2}\right)^n\]

Answer 2

a = 1st term
r = common ratio.

In this case:
\(a = \dfrac{1}{2}\)

\(r = \dfrac{1}{2}\)

Answer 3

but that give me -.5/.5 so that would be -1 and that is not an option

Answer 4

Sorry:
\[\sum_{n=1}^{\infty}a^i = \frac{a}{1-r}\]

Answer 5

\[\frac{a}{1-a}\]

Answer 6

so the answer is 1 then right?

Answer 7

Correct

Answer 8

what about this one?

Answer 9

Just plug in \(n\) for the possible choices until you get the right sequence.

Answer 10

d?

Answer 11

Correct :)

Answer 12

thanks!