1.

The sum of \[n\] terms of the following series \[1.2+2.3+3.4+4.5+.........\] shall be [MNR 1980]

A. \[{{n}^{3}}\]
B. \[\frac{1}{3}n\,(n+1)(n+2)\]
C. \[\frac{1}{6}n\,(n+1)(n+2)\]
D. \[\frac{1}{3}n\,(n+1)(2n+1)\]
Answer» C. \[\frac{1}{6}n\,(n+1)(n+2)\]


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