Find the sum using the formulas for the sums of powers of integers.
$$\sum _ { n = 1 } ^ { 12 } n ^ { 3 }$$
A) 4356
B) 12,168
C) 1728
D) 650
E) 6084

Name: Find the sum using the formulas for the sums of powers of integers. \[\sum _ { n = 1 } ^ { 12 } n ^ { 3 }\] A) 4356 B) 12,168 C) 1728 D) 650 E) 6084
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Question

Quizplus · Accepted Answer

Using the formula for the sum of cubes, we have $\sum_{n=1}^{12} n^3 = \left(\sum_{n=1}^{12} night)^2 = (78)^2 = 6084$. Therefore, the answer is $\boxed{	extbf{(E)}\ 6084}$.

Find the Sum Using the Formulas for the Sums of Powers