Question

If the general term of a sequence is given by $\frac{(n^2+n)}{n}$ , then the sum of first n terms of the sequence is given by

• A.
• B.
• C.
• D.

Answer 1

The correct option is B

Sum of the sequence = Sum of first n terms of the sequence whose general term is $\frac{(n^2+n)}{n}$ ,

$=\frac{n}{2}[\frac{\left[n(n+1)\right]}{n}+2]=\frac{n}{2}\left[\right(n+1)+2]=\frac{n(n+3)}{2}$