If the sum of \[1+\frac{1+2}{2}+\frac{1+2+3}{3}+.....\] to n terms is S, then S is equal to [Kerala (Engg.) 2002]

If the sum of \[1+\frac{1+2}{2}+\frac{1+2+3}{3}+.....\] to n terms is

1.	If the sum of \[1+\frac{1+2}{2}+\frac{1+2+3}{3}+.....\] to n terms is S, then S is equal to [Kerala (Engg.) 2002]
A.	\[\frac{n(n+3)}{4}\]
B.	\[\frac{n(n+2)}{4}\]
C.	\[\frac{n(n+1)\,(n+2)}{6}\]
D.	\[{{n}^{2}}\]
Answer» B. \[\frac{n(n+2)}{4}\]

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If the sum of \[1+\frac{1+2}{2}+\frac{1+2+3}{3}+.....\] to n terms is S, then S is equal to [Kerala (Engg.) 2002]

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