Find a formula for the nth term of the sequence. $1 , \frac { 1 } { 8 } , \frac { 1 } { 27 } , \frac { 1 } { 64 } , \ldots$
A) $a ^ { n } = 3 ^ { n }$
B) $a ^ { n } = \frac { 1 } { n ^ { 3 } }$
C) $a ^ { n } = n ^ { 3 }$
D) $a ^ { n } = \frac { 1 } { 3 ^ { n } }$

Question

Quizplus · Accepted Answer

The nth term of the sequence is the reciprocal of the cube of n, which matches option B: $a^n = \frac{1}{n^3}$.

Find a Formula for the Nth Term of the Sequence 1,18,127,164,…1 , \frac { 1 } { 8 } , \frac { 1 } { 27 } , \frac { 1 } { 64 } , \ldots1,81​,271​,641​,…

Find a Formula for the Nth Term of the Sequence $1 , \frac { 1 } { 8 } , \frac { 1 } { 27 } , \frac { 1 } { 64 } , \ldots$