NIFT UG 2013 Question Paper with solutions

Question : 21 of 150

Marks: +1, -0

Find the sum of the cubes of first 10 natural numbers.

Solution:

{S}_{10}=(1)^{3}+(2)^{3}+(3)^{3}+(4)^{4}+. . ..(10)^{3}

Sum of cubes of n natural numbers

=(\;\;{n(n+1)}/{2})^{2}

{S}_{10}=(\;\;{10×11}/{2})^{2}=3025

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