Can you tell me the answer for the following question?

2016-03-03 4:59 pm
Determine whether the infinite geometric series is convergent or divergent. If it is convergent, find its sum. (If the series is divergent, answer DIVERGENT.)

-49/9 + 7/3 -1 + 3/7 - ...

Thank you

回答 (1)

2016-03-04 7:11 am
✔ 最佳答案
r = - 3/7
Since |r|< 1 , the series is convergent, and

S
= a / ( 1 - r )
= ( - 49/9 ) / ( 1 + 3/7 )
= ( - 49/9 ) / ( 10/7 )
= - 343/90 ...... Ans


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