Find the indicated terms of the sequence, whose nth term is a _ n… - Vidyadip

Question

Find the indicated terms of the sequence, whose nth term is $a _ { n } = ( - 1 ) ^ { n - 1 } n ^ { 3 }; a_9$

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Answer

Given: $a_n=(-1)^{n-1} n^3$
$\therefore a_9=(-1)^{9-1} \times(9)^3=(-1)^8 \times 729=729$
Therefore, $9^{\text {th }}$ term is 729 .

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