Determine the number of terms in a G.P., if `a_1=3,a_n=96 ,a n dS_n=189.`

Determine the number of terms in G.P.(:a_(n):), if a_(1)=3,a_(n)=96 and S_(n)=189

Let S_n denote the sum of the first n terms of an A.P. , a_1,a_2,a_3 ,…, a_n . If a_5+a_9=1 and S_9=6 , then which one of the following is not true ?

Show that the ratio of the sum of first n terms of a G.P. and the sum of (n+1)th term to (2n)th term is (1)/(r^(n)) .

In a GP a_(1)=3,a_(n)=96 and S_(n)=189. Find the number of terms

If a_1,a_2 …. a_n are positive real numbers whose product is a fixed real number c, then the minimum value of 1+a_1 +a_2 +….. + a_(n-1) + a_n is :

In a G.P if the first term is 3, nth term is 96 and the sum of n terms is 189, then the number of terms is

Let a_1,a_2,a_3…………., a_n be positive numbers in G.P. For each n let A_n, G_n, H_n be respectively the arithmetic mean geometric mean and harmonic mean of a_1,a_2,……..,a_n On the basis of above information answer the following question: A_k,G_k,H_k are in (A) A.P. (B) G.P. (C) H.P. (D) none of these

Let the sequence a_n be defined as follows : a_1=1,""""a_n=a_(n-1)+2 for ngeq2 . Find first five terms and write corresponding series.

The n^(th) term, an of a sequence of numbers is given by the formula a_n = a_(n – 1) + 2n for n ge 2 and a_1 = 1 . Find an equation expressing an as a polynomial in n. Also find the sum to n terms of the sequence.

. The sum of the first three terms of an increesing G.P. is 21 and the sum of their squares is 189. Then the sum of its first n terms is