Sequence And Series Question 131

Question: The sum of $ 1^{3}+2^{3}+3^{3}+4^{3}+…..+15^{3} $ ,is

[MP PET 2003]

Options:

A) 22000

B) 10,000

C) 14,400

D) 15,000

Show Answer

Answer:

Correct Answer: C

Solution:

Sum of cubes of $ ’n’ $ natural number $ =\frac{n^{2}{{(n+1)}^{2}}}{4}=\frac{15^{2}{{(16)}^{2}}}{4}=14,400 $ .