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If the sum of the first 15 terms of the series `((3)/(4))^(3)+(1(1)/(2))^(3)+(2(1)/(4))^(3)+3^(3)+(3(3)/(4))^(3)+...` is equal to 225k, then k is equal to

A

9

B

27

C

108

D

54

Text Solution

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The correct Answer is:
B
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