The series $a, a r, a r^{2}, a r^{3}, a r^{4} . . . .$ is an

finite geometric progression

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finite harmonic progression

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infinite geometric progression

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finite arithmetic progression

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Solution

The correct option is D infinite geometric progression
$a, a r, a r^{2}, a r^{3}, a r^{4} . . . .$ is an infinite geometric progression.
Here common ratio is $r$ .
This can be found out as $\frac{a r}{a} = r, \frac{a r^{2}}{a r} = r$ and so on.
Thus the given series is in G.P.

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