Question

Plz help!

Answer 1

Answer:

The common ratio of the first G.P. series will be the cube root of the common ratio of the second G.P. series.

Step-by-step explanation:

Let us assume that the first series has first term a and the common ratio r and  is given by  

a, ar, ar², ar³, ......... up to infinite terms

It is given that the terms of the second series are a cube of the corresponding terms of the first series.

So, the second series is $a^{3}, a^{3} r^{3} , a^{3} r^{6}, a^{3} r^{9}, ......$ up to infinite terms.

So, it is clear that the second series is a G.P. series with first term a³ and common ratio r³.

Therefore, the common ratio of the first G.P. series will be the cube root of the common ratio of the second G.P. series. (Answer)