A) 3575
B) 2525
C) 5075
D) 3025
Correct Answer: D
Solution :
Using formula, \[{{1}^{3}}+{{2}^{3}}+{{3}^{3}}+....+{{n}^{3}}\] \[={{\left\{ \frac{n(n+1)}{2} \right\}}^{2}}\] \[{{1}^{3}}+{{2}^{3}}+{{3}^{3}}+....+{{10}^{3}}\] \[={{\left( \frac{10\times 11}{2} \right)}^{2}}={{(55)}^{2}}\] \[=55\times 55=3025\]You need to login to perform this action.
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