Sequence And Series Question 148

Question: $ \sum\limits_{m=1}^{n}{m^{2}} $ is equal to

[RPET 1995]

Options:

A) $ \frac{m(m+1)}{2} $

B) $ \frac{m(m+1)(2m+1)}{6} $

C) $ \frac{n(n+1)(2n+1)}{6} $

D) $ \frac{n(n+1)}{2} $

Show Answer

Answer:

Correct Answer: C

Solution:

It is nothing but $ {S_{\infty }}=\frac{a}{1-r}=\frac{\sqrt{2}+1}{1-(\sqrt{2}-1)} $ .



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