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Most of the formulae are verified on the...

Most of the formulae are verified on the basis of induction method by putting n=1,2,….
Which of the following is correct?

A

`2^(n) gt n!`

B

`1!+2.2!+3.3!+...+n.n=(n+1)!-1`

C

`1+2+3...+n=(n(n-1))/(2)`

D

`1^(2)+2^(2)+...+n^(2)=(n(n+1)(2n+1))/(3)`

Text Solution

Verified by Experts

The correct Answer is:
B
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