# Show that the products of the corresponding terms of the sequences a, ar, ar2,…arn – 1 and A, AR, AR2, … ARn – 1 form a G.P, and find the common ratio.

Given: The sequences a, ar, ar2,…arn – 1 and A, AR, AR2, … ARn – 1

The products of the corresponding terms of the G.P is

a × A, ar × AR, ar2 × AR2, ……….., arn × ARn

Here,

= rR

= rR

The product of the corresponding terms of the given sequence forms a G.P and the common ratio is rR

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