Find the $7^{t h}$ term of the sequence whose $n^{t h}$ term is given by $a_{n} = (- 1)^{n - 1} . n^{3}$ .

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Solution

As, $n t h$ term is given by $a_{n} = (- 1)^{n - 1} . n^{3}$

So, $7 t h$ term equals $= a_{7} = (- 1)^{7 - 1} {.7}^{3}$

$⟹ a_{7} = (- 1)^{6} .343$

$⟹ a_{7} = 343$

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