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Geometric series Evaluate the geometric series
Chapter 11, Problem 32E(choose chapter or problem)
QUESTION:
19-34. Geometric series Evaluate the geometric series or state that it diverges.
\(\sum_{k=1}^{\infty} \frac{3^{k-1}}{4^{k+1}}\)
Questions & Answers
QUESTION:
19-34. Geometric series Evaluate the geometric series or state that it diverges.
\(\sum_{k=1}^{\infty} \frac{3^{k-1}}{4^{k+1}}\)
ANSWER:Problem 32E
Geometric series
Evaluate the geometric series or state that it diverges.
Solution:
Step 1
The given series is :
Taking the series becomes :
=
From this, we get