Write out the first five terms of the sequence.
-$\left\{ \frac { 4 } { n ^ { 2 } } \right\}$
A) $4,1 , \frac { 4 } { 9 } , \frac { 1 } { 4 } , \frac { 4 } { 25 }$
B) $\frac { 1 } { 4 } , \frac { 2 } { 9 } , \frac { 3 } { 16 } , \frac { 4 } { 25 } , \frac { 5 } { 36 }$
C) $1 , \frac { 1 } { 2 } , \frac { 1 } { 3 } , \frac { 1 } { 4 } , \frac { 1 } { 5 }$
D) $1 , \frac { 1 } { 4 } , \frac { 1 } { 9 } , \frac { 1 } { 16 } , \frac { 1 } { 25 }$

Question

Quizplus · Accepted Answer

The sequence is defined as $\frac{4}{n^2}$, where $n$ is the position in the sequence. Substituting $n = 1, 2, 3, 4, 5$ into the formula gives the first five terms as $4, 1, \frac{4}{9}, \frac{1}{4}, \frac{4}{25}$, which matches option A.

Write Out the First Five Terms of the Sequence {4n2}\left\{ \frac { 4 } { n ^ { 2 } } \right\}{n24​}

Write Out the First Five Terms of the Sequence $\left\{ \frac { 4 } { n ^ { 2 } } \right\}$