Find the sum of the infinite geometric series, a(1)= -5, r= 1/6

Kayden Mills

Kayden Mills

Answered question

2022-11-02

Find the sum of the infinite geometric series, a(1)= -5, r= 1/6

Answer & Explanation

merlatas497

merlatas497

Beginner2022-11-03Added 14 answers

Sum of geometric series { a , a r , a r 2 , a r 3 , , , , , , , , , , } up to n terms is given by
S = a × r n - 1 r - 1 if r > 0 and
S = a × 1 - r n 1 - r if r < 0
If r < 0 , L t n ( r n ) = 0 and hence S = a 1 - r
Here as a=−5 and r = 1 6 and as r < 1
S = - 5 1 - 1 6 = - 5 5 6 = - 5 × 6 5 = - 6

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