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A sequence of non negative terms is give...

A sequence of non negative terms is given by `a_(n+1) = 3a_(n) -2a_(n-1) ` where `a_(0) = 0 , a_(1) =1 ` . Then the value `(a_(1) + a_(2) + a_(3)+ cdots + a_(100)) ` equals

A

`2^(100)`

B

`2^(100) -100`

C

`2^(100)-101`

D

`2^(101) -102`

Text Solution

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The correct Answer is:
D
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