For the G.P. 1/27, 1/9, 1/3, ........, 81 ; find the product of fourth term from the beginning and the fourth term from the end.

Question

KnowledgeBoat · Accepted Answer

Common ratio, . So, the above sequence is a G.P. with r = 3. Let there be n terms. a₄ = ar³ = = = 1. m^th term from end is (n - m + 1)^th term from starting. So, 4^th term from end is (8 - 4 + 1) = 5^th term from starting. a₅ = ar⁴ = = = 3. a₄.a₅ = 1 × 3 = 3. Hence, product of fourth term from the beginning and the fourth term from the end = 3.

Mathematics

For the G.P. 1/27, 1/9, 1/3, ........, 81 ; find the product of fourth term from the beginning and the fourth term from the end.

GP

Related Questions

If a, b and c are in A.P. and also in G.P., show that : a = b = c.