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Prove that following C(0)+(3)/(2).C(1)...

Prove that following
`C_(0)+(3)/(2).C_(1)+(9)/(3).C_(2)+(27)/(4).C_(3)+……+(3^(n))/(n+1).C_(n)=(4^(n+1)-1)/(3(n+1)).`

Text Solution

Verified by Experts

The correct Answer is:
`(4^(n+1) -1)/( 3(n+1))`
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