What is the ninth term of the sequence whose general term $a_{n} = (- 1)^{n - 1} n^{3}$ .

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Solution

The given general term for sequence is,
$a_{n} = (- 1)^{n - 1} n^{3}$
To find:- $9^{t h}$ term $(t_{q}) = ?$
Solution:- To find $9^{t h}$ term,
Substitute $n = 9$ in the general term equation,
$∴$ We get,
$a_{9} = (- 1)^{9 - 1} (9)^{3} = (- 1)^{8} (9)^{3}$
$= (1) (729)$
$= 729$
Ans) The ninth term is sequence is $729$ .

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