Solved: Geometric series Evaluate the geometric series or

Chapter 11, Problem 33E

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QUESTION:

19-34. Geometric series Evaluate the geometric series or state that it diverges.

\(\sum_{k=0}^{\infty}\left(\frac{1}{4}\right)^{k} 5^{6-k}\)

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QUESTION:

19-34. Geometric series Evaluate the geometric series or state that it diverges.

\(\sum_{k=0}^{\infty}\left(\frac{1}{4}\right)^{k} 5^{6-k}\)

ANSWER:

Problem 33E

Geometric series 
Evaluate the geometric series or state that it diverges.

Solution:
Step 1
The given series is :

   

   

   
 
So,

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