\[\frac{\frac{1}{2}.\frac{2}{2}}{{{1}^{3}}}+\frac{\frac{2}{2}.\frac{3}{2}}{{{1}^{3}}+{{2}^{3}}}+\frac{\frac{3}{2}.\frac{4}{2}}{{{1}^{3}}+{{2}^{3}}+{{3}^{3}}}+.....n\] terms = [EAMCET 2000]

\[\left( \frac{1}{n+1} \right)\]

\[{{\left( \frac{n}{n+1} \right)}^{2}}\]

\[{{\left( \frac{n}{n+1} \right)}^{3}}\]

\[\left( \frac{n}{n+1} \right)\]

\[\frac{\frac{1}{2}.\frac{2}{2}}{{{1}^{3}}}+\frac{\frac{2}{2}.\frac{3}

1.	\[\frac{\frac{1}{2}.\frac{2}{2}}{{{1}^{3}}}+\frac{\frac{2}{2}.\frac{3}{2}}{{{1}^{3}}+{{2}^{3}}}+\frac{\frac{3}{2}.\frac{4}{2}}{{{1}^{3}}+{{2}^{3}}+{{3}^{3}}}+.....n\] terms = [EAMCET 2000]
A.	\[{{\left( \frac{n}{n+1} \right)}^{2}}\]
B.	\[{{\left( \frac{n}{n+1} \right)}^{3}}\]
C.	\[\left( \frac{n}{n+1} \right)\]
D.	\[\left( \frac{1}{n+1} \right)\]
Answer» D. \[\left( \frac{1}{n+1} \right)\]

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\[\frac{\frac{1}{2}.\frac{2}{2}}{{{1}^{3}}}+\frac{\frac{2}{2}.\frac{3}{2}}{{{1}^{3}}+{{2}^{3}}}+\frac{\frac{3}{2}.\frac{4}{2}}{{{1}^{3}}+{{2}^{3}}+{{3}^{3}}}+.....n\] terms = [EAMCET 2000]

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