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Properties of GP

If 5,15,45,13...

Question

If 5, 15, 45, 135, 405, 1215.... are in GP, which series is also in GP?

A

5, 15, 405

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B

5, 45, 405

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C

5, 135, 405

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D

5, 15, 135

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Solution

The correct option is B
5, 45, 405

When the terms of a Geometric Progression are selected at regular intervals then the new series obtained is also a Geometric Progression.

e.g: In 5, 45, 405

The common ratio is 9

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