Find the 8th term of this sequence: $- 6, 12, - 24 . . .$

568

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658

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768

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865

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Solution

The correct option is A $768$
We know the formula,
$t_{n} = a r^{n - 1}$
Here $n = 8$
Common ratio $= - 2$ and first term $= a = - 6$
$t_{8} = (- 6) \times (- 2)^{8 - 1}$
$t_{8} = (- 6) \times (- 2)^{7}$
$t_{8} = 768$

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