If each terms of the GP is raised to some power, the resulting sequence also forms an GP.

(iii) If each terms of the AP is raised to some power; the resulting sequence also forms an AP

If each term of a G.P. is raised to the power x, show that the resulting sequence is also a G.P.

Consider the following statements : 1. If each term of a GP is multiplied by same non-zero number, then the resulting sequence is also a GP. 2. If each term of a GP is divided by same non-zero number, then the resulting sequence is also a GP. Which of the above statements is/are correct?

The terms of a G.P. with first term a and common ratio r are squared. Is the resulting sequence also a G.P.? If its is so, find the its first term, common ratio and the nth term.

Three positive numbers form a G.P. If the second term is increased by 8, the resulting sequence is an A.P. In turn, if we increase the last term of this A.P. by 64, we get a G.P. Find the three numbers .

The terms of a G.P. with first term ‘a’ and common ratio ‘r’ are squared. Is the resulting sequence also a G.P. ? If it is so, find its first term, common ratio and the nth term.

Three positive numbers form a GP. If the middle number is increased by 8, the three numbers form an AP. If the last number is also increased by 64 along with the previous increase in the middle number, the resulting numbers form a GP again.Then :-

Which 2 terms are inserted between 5 and 40 So that the resulting sequence is G.P.

Insert three numbers between 1 and 256 so that the resulting sequence is a GP.

The product of first three terms of a G.P. is 1000 . If we add 6 to its second term and 7 to its third term, the resulting three terms form an A.P. Find the terms of the G.P.