1, 3/2, 9/4, 27/8,..... here first term a=1 and common ratio is 3 / 2 =r so, nth term α the G.P is an nbsp; =a,r^n 1 =1. 3/2^n ...

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nth Term of A.P

1,-3/2, 9/4, ...

Question

$1, - 3 / 2, 9 / 4, - 27 / 8, . . . . .$

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Solution

$1, - 3 / 2, 9 / 4, - 27 / 8, . . . . .$
here first term a=1 and common ratio is $\frac{- 3}{2} = r$
so, nth term $α -$ the G.P is an
$= a, r^{n - 1}$
$= 1. {\frac{- 3}{2}}^{n - 1}$

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