finding general term of 60/121 - 30/11 + 15 - 165/2 + ....

[george93]

What is the general term of the following series?

60/121 - 30/11 + 15 - 165/2 + ....

How would I do this question? :?

Thank you!

 

[pka]

\(\displaystyle \L
\left( {\frac{{60}}{{121}}} \right)\left( {\frac{{ - 11}}{2}} \right)^k \quad k = 0,1,2 \ldots.\)

That is one possible answer: a geometric series.