Question

For a G.P. a = `4/3 and "t"_7 = 243/1024`, find the value of r.

Answer 1

Given, a = `4/3 and "t"_7 = 243/1024`

t_n = ar^n–1

∴ t₇ = ar⁶

∴ `243/1024 = "ar"^6`

∴ `243/1024 = 4/3"r"^6`

∴ r⁶ = `3^6/4^6`

∴ r = `3/4`