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

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?

Each term of an A.P. is doubled,. Is the resulting sequence also an A.P.? If it is write its first term, common difference and nth term.

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 .

(i) If a constant is added to or substracted from each terms of an AP; then the resulting sequence is also an AP with the same common difference.

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 :-

Insert four number between 6 and 192 so that the resulting sequence is a G.P.

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

Three terms are in G.P.,their product is 216. If 4 be added to the first term and 6 to the second term the resulting numbers are in A.P. obtain the terms in G.P.