The sum to \( n \) terms of the series \[ 1+2\left(1+\frac{1}{n}\right)+3\left(1+\frac{1}{n}\rig...
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0The sum to \( n \) terms of the series
\[
1+2\left(1+\frac{1}{n}\right)+3\left(1+\frac{1}{n}\right)^{2}+\ldots, \text { is given by }
\]
(A) \( n^{2} \)
(B) \( n(n+1) \)
(C) \( n(1+1 / n)^{2} \)
(D) none of these
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