Find the sum using the formulas for the sums of powers of integers. $\sum _ { n = 1 } ^ { 9 } n ^ { 3 }$
A)1296
B)4050
C)729
D)285
E)2025

Name: Find the sum using the formulas for the sums of powers of integers. $\sum _ { n = 1 } ^ { 9 } n ^ { 3 }$ A)1296 B)4050 C)729 D)285 E)2025
Brand: Quizplus
Rating: 4.9 (41 reviews)

Question

Quizplus · Accepted Answer

The formula for the sum of the cubes of the first n natural numbers is $\frac{n^2(n+1)^2}{4}$. Substituting $n=9$, we get $\frac{9^2(10)^2}{4} = \frac{81*100}{4} = 2025$.

Find the Sum Using the Formulas for the Sums of Powers