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If P(n)=2+4+6+....+2n, n in N. Then P(k)...

If `P(n)=2+4+6+....+2n, n in N`. Then `P(k) =k(k+1)` `rArr P(k+1)=(k+1)(k+2),forall k in N` , So , we can conclude that `P(n)=n(n+1)` for

A

all `n in N`

B

`n gt 1`

C

`n gt 2`

D

Nothing can be said

Text Solution

Verified by Experts

It is obvious .
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