In a GP, first term is 1. If `4T_(2) + 5T_(3)` is minimum, then its common ratio is

In a G.P. it is given that T_(p-1)+T_(p+1)=3T_(p). Prove that its common ratio is an irrational number.

In a G.P. it is given that T_(p-1)+T_(p+1)=3T_(p). Prove that its common ratio is an irrational number.

Let t_(r) be the rth term of an A.P. If t_(2), t_(8) and t_(32) are in G.P., then find the common ratio of the G.P.

Find the number of terms in the G.P. whose first term is 3 sum is (4095)/(1024) and the common ratio is 1/4 :

The first term of a GP is 1. The sum of 3rd and 5th term is 90. Find the common ratio of the G.P.

If the first term of a G.P. a_(1),a_(2),a_(3) is unity such that 4a_(2)+5a_(3) is least, then the common ratio of the G.P. is

The first term of a G.P . Is and the sum of 3^(rd) and 5^(th) terms is 90 . Find the common ratio of the G.P.

If the first term of a G.P is 1 and the sum of 3^(rd) and 5^(th) terms is 90 then the positive common ratio of the G.P. is

The first term of a G.P. with real term is 2. If the sum of its third and fifth terms is 180, the common ratio of the G.P. is