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Question

Using mathematical Induction, the numbers an s are defined by a0=1, an+1=3n2+n+an(n0) Then an=


A

n3+n2+1

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B

n3n2+1

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C

n3n2

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D

n3+n2

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Solution

The correct option is B

n3n2+1


Putting n = 0, 1, 2, ………………. n – 1 and adding ana0=3(n1)2+nan=n3n2+1


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