Show that the products of the corresponding terms of the sequences form a G.P, and find the common ratio.

Open in App

Solution

It has to be proved that the sequence, aA, arAR, ar²AR², …arⁿ^–1ARⁿ^–1, forms a G.P.

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

Suggest Corrections

Similar questions

Q. Show that the products of the corresponding terms of the sequences form a G.P, and find the common ratio.

Show that the products of the corresponding terms of the sequences $a, a r, a r^{2}, . . . . . . . a r^{n - 1} a n d A, A R, A R^{2}, . . . . A R^{n - 1}$ form a G.P and find the common ratio.

Q. Show that the products of the corresponding terms of the sequences

a, a r, a r^{2}, . . . . a r^{n - 1}

and

A, A R, A R^{2}, . . . . A R^{n - 1}

form a G.P and findthe common ratio.

Q. Show that the products of the corresponding terms of the sequences

a, a r, {a r}^{2}, {a r}^{n - 1}, a n d A, A R, {A R}^{2}, {A R}^{n - 1}

from a G.P. and find the common ratio.

Q. Show that the products of the corresponding terms of two G.P's

a, a r, a r^{2}, . . ., a r^{n - 1}

and

A, A R, A R^{2}, . . . ., A R n - 1

form a G.P. and find the common ratio.

Join BYJU'S Learning Program

Show that the products of the corresponding terms of the sequences form a G.P, and find the common ratio.

It has to be proved that the sequence, aA, arAR, ar2AR2, …arn–1ARn–1, forms a G.P. Thus, the above sequence forms a G.P. and the common ratio is rR.

It has to be proved that the sequence, aA, arAR, ar²AR², …arⁿ^–1ARⁿ^–1, forms a G.P.

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