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
Use mathematical induction to prove the property for all positive integers $n$.
$\left[ a ^ { n } \right] ^ { 4 } = a ^ { 4 n }$

Question

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 
Use mathematical induction to prove the property for all positive integers $n$.
$\left[ a ^ { n } \right] ^ { 4 } = a ^ { 4 n }$

Quizplus · Accepted Answer

The Answer of 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 
Use mathematical induction to prove the property for all positive integers $n$.
$\left[ a ^ { n } \right] ^ { 4 } = a ^ { 4 n }$

Find the Sum Using the Formulas for the Sums of Powers