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What is the sum of the infinite geomatri...

What is the sum of the infinite geomatric series `6+4+8/3+(16)/9+`….?

A

18

B

36

C

45

D

60

Text Solution

Verified by Experts

The correct Answer is:
A

The formula for the sum of a geomatric series is `S=(a_1)/(1-r)` where `a_1` is the first term and r is the common ratio. In this problem `a_1=6` and `r=4/6=2/3`. [19]
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