The 4th and the 7th terms of a G.P. are 1/27 and 1/729 respectively. Find the sum of first 6 terms of the G.P.

Question

KnowledgeBoat · Accepted Answer

Given, ⇒ T4 = ⇒ ar3 = .....(1) Given, ⇒ T7 = ⇒ ar6 = ..........(2) Dividing Equation (2) by Equation (1) : Substituting, in equation 1 : We know that, The sum of the first n terms of a G.P. is given by: [For r 1] Substituting values we get : Hence, S6 = .

Mathematics

The 4th and the 7th terms of a G.P. are 1/27 and 1/729 respectively. Find the sum of first 6 terms of the G.P.

G.P.

Related Questions

In a G.P. the ratio of the sum of first 3 terms is to that of first 6 terms is 125 : 152. Find the common ratio.