Fourth and seventh terms of a G.P. are 1/18 and -1/486 respectively. Find the G.P.

Question

KnowledgeBoat · Accepted Answer

Let first term of the G.P. be a and it's common ratio be r. Given, ⇒ a₄ = ⇒ ar³ = ........(i) Also, ⇒ a₇ = ⇒ ar⁶ = ........(ii) Dividing (ii) by (i) we get, Substituting value of r in (i) we get, ⇒ a₂ = ar = = . ⇒ a₃ = ar² = = = G.P. = Hence, G.P. =

Mathematics

Fourth and seventh terms of a G.P. are 1/18 and -1/486 respectively. Find the G.P.

GP

Related Questions

The fifth term of a G.P. is 81 and its second term is 24. Find the geometric progression.

If the first and the third terms of a G.P. are 2 and 8 respectively, find its second term.

The product of 3^rd term and 8^th terms of a G.P. is 243. If its 4^th term is 3, find its 7^th term.

Mathematics

Fourth and seventh terms of a G.P. are 1/18 and -1/486 respectively. Find the G.P.

GP

Related Questions

The fifth term of a G.P. is 81 and its second term is 24. Find the geometric progression.

If the first and the third terms of a G.P. are 2 and 8 respectively, find its second term.

The product of 3rd term and 8th terms of a G.P. is 243. If its 4th term is 3, find its 7th term.

The product of 3^rd term and 8^th terms of a G.P. is 243. If its 4^th term is 3, find its 7^th term.