Question

Determine whether the sequence converges or diverges. If it converges, give the limit.

60, -10, 5/3, -5/18, ...

Answer 1

-10/60=-1/6
(5/3)/-10 = (5/3)*(-1/10) = -1/6
(-5/18)*(3/5) = -1/6
so common ratio = |-1/6|=1/6 < 1
so
we have that the series is converging because its geometric with ratio r st |r|<1
so
its sum
\[\frac{60}{1-(\frac{-1}{6}}\]

Answer 2

\[\frac{60}{\frac{7}{6}}=60*\frac{6}{7}\]

Answer 3

Thanks! Quick question, for the limit the formula is a1/1-r right?

Answer 4

@zzr0ck3r

Answer 5

yes, for the sum...not the limit

Answer 6

I need to find the limit, how would I do that?

Answer 7

nvm I got it