Find the sum using the formulas for the sums of powers of integers. $$\sum _ { n = 1 } ^ { 8 } n ^ { 3 }$$
A)784
B)2,592
C)512
D)204
E)1296

Name: Find the sum using the formulas for the sums of powers of integers. \[\sum _ { n = 1 } ^ { 8 } n ^ { 3 }\] A)784 B)2,592 C)512 D)204 E)1296
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Question

Quizplus · Accepted Answer

The sum of cubes of the first n natural numbers is given by $(\frac{n(n+1)}{2})^2$. For n=8, this becomes $(\frac{8 \times 9}{2})^2 = 36^2 = 1296$.

Find the Sum Using the Formulas for the Sums of Powers