Sum of the \[n\] terms of the series \[\frac{3}{{{1}^{2}}}+\frac{5}{{{1}^{2}}+{{2}^{2}}}+\frac{7}{{{1}^{2}}+{{2}^{2}}+{{3}^{2}}}\,+...\,\,\text{is}\] [Pb. CET 1999; RPET 2001]

Sum of the \[n\] terms of the series \[\frac{3}{{{1}^{2}}}+\frac{5}{{{

1.	Sum of the \[n\] terms of the series \[\frac{3}{{{1}^{2}}}+\frac{5}{{{1}^{2}}+{{2}^{2}}}+\frac{7}{{{1}^{2}}+{{2}^{2}}+{{3}^{2}}}\,+...\,\,\text{is}\] [Pb. CET 1999; RPET 2001]
A.	\[\frac{2n}{n+1}\]
B.	\[\frac{4n}{n+1}\]
C.	\[\frac{6n}{n+1}\]
D.	\[\frac{9n}{n+1}\]
Answer» D. \[\frac{9n}{n+1}\]

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Sum of the \[n\] terms of the series \[\frac{3}{{{1}^{2}}}+\frac{5}{{{1}^{2}}+{{2}^{2}}}+\frac{7}{{{1}^{2}}+{{2}^{2}}+{{3}^{2}}}\,+...\,\,\text{is}\] [Pb. CET 1999; RPET 2001]

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