Question

Show that the products of the corresponding terms of the sequences form a, ar, ar² .... ar ^n-1 and A, AR, AR²,.... AR^n-1 a G.P, and find the common ratio.

Answer 1

It has to be proved that the sequence: aA, arAR, ar²AR², …ar^n–1AR^n–1, forms a G.P.

Thus, the above sequence forms a G.P. and the common ratio is rR.