The Total solution for NCERT class 6-12
Show that the products of the corresponding terms of thesequences a, ar, ar2, …arn-1 and A, AR, AR2,… ARn-1 form a G.P, and find the common ratio.
To be proved: Thesequence, aA, arAR, ar2AR2,…arn–1ARn–1, forms aG.P.
Now, we have
Therefore, the abovesequence forms a G.P. and the common ratio is rR.