Question

Determine whether the geometric series is convergent or divergent. 10-4+1.6-0.64+... If it convergent, find the sum.

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asked 2021-06-12
Determine whether the geometric series is convergent or divergent.
\(10-4+1.6-0.64+...\)
If it convergent, find the sum.

Answers (1)

2021-06-13
\(a=10\)
\(r=\frac{-4}{10}=\frac{-2}{5}\)
Now sum:
\(S_n=\frac{a}{1-r}\)
\(=\frac{10}{(1+\frac{2}{5})}\)
\(=\frac{50}{7}\)
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