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?Determine whether the geometric series is convergent or divergent. If it is convergent
Chapter 9, Problem 29(choose chapter or problem)
QUESTION:
Determine whether the geometric series is convergent or divergent. If it is convergent, find its sum
\(\sum_{n=1}^{\infty} \frac{(-3)^{n-1}}{4^n}\)
Questions & Answers
QUESTION:
Determine whether the geometric series is convergent or divergent. If it is convergent, find its sum
\(\sum_{n=1}^{\infty} \frac{(-3)^{n-1}}{4^n}\)
ANSWER:Step 1 of 2
When the series is written in this form, we can transform it a little into the form of a geometric series:
it is easy to notice that it is a geometric series, where and .