Next term of the series 2,-6,18,-54 is ______

162

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-162

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486

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-486

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Solution

The correct option is A 162
From the given data,
$\frac{- 6}{2} = \frac{18}{- 6} = - 3$ , its a GP with a $_{1} = 2$ and r= -3
$a_{n} = a_{1} \times r^{(n - 1)}$
therefore 5th term = $a_{1} \times r^{4}$ = $2 \times {- 3}^{4}$ = 162

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