The terms of a G.P with first term a and a common ratio r are squared. Is the resulting sequence also a G.P? If it is, find its first term, common ratio and 12th 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 it is so, find its first term, common ratio and the nth term.

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.

Find the nth term of GP if the first term is 7 and common ratio is 3.

Find the 7th term of GP if the first term is 7 and common ratio is 2.

Find the 5th term of GP if the first term is 4 and common ratio is 2.

We are given two G.P.'s, one with the first term 'a' and common ratio ‘r’ and the other with first term ‘b’ and common ratio ‘s’. Show that the sequence formed by the product of corresponding terms is a G.P. Find its first term and the common ratio. Show also that the sequence formed by the quotient of corresponding terms is G.P. Find its first term and common ratio.

Find the nth term of AP whose first term is 12 and common difference is 7.

If first term is 3 and common ratio is 3 then find the 6th term of G.P

If First term of G.P is 1 and common ratio '1/2' then find the infinite sum of G.P

In a geometric progression with first term a and common ratio r, what is the arithmetic mean of first five terms ?