Which term of the G.P. `2,1,1/2,1/4, i s1/(128)?`

Which terms of the GP: 2, 2sqrt(2), 4 ,………. Is 128 ?

The 8th term of the G.P. 9, 3, 1, ____.

Which terms of the GP: (i) 2,8,32,…… is 512? (ii) sqrt(3), 3,3sqrt(3) ,…………… is 729? (iii) 1/3, 1/9, 1/27 ,…………. Is 1/(2187) ?

Find the sum of 7 terms of the G.P. 1,-3,9,-27....

If sum of an infinite G.P. p ,1,1//p ,1//p^2,.... .i s9//2 then value of p is a. 3 b. 3/2 c. 3 d. 9/2

Fill in the blanks, if the term are in G.P. (1)/(8), (3)/(4), (9)/(2), …

Find the sum of the products of the corresponding terms of the sequences 2, 4, 8, 16, 32 and 128 , 32 , 8 , 2 1/2

Consider a G.P. with first term (1+x)^(n) , |x| lt 1 , common ratio (1+x)/(2) and number of terms (n+1) . Let 'S' be sum of all the terms of the G.P. , then sum_(r=0)^(n)"^(n+r)C_(r )((1)/(2))^(r ) equals

If S dentes the sum to infinity and S_n the sum of n terms of the series 1+1/2+1/4+1/8+….., such that S-S_n lt 1/1000 then the least value of n is