Question

Find the G.P. whose first term is 64 and next term is 32.

Answer 1

First term, a = 64

Second term, t₂ = 32

`\implies` ar = 32

`\implies` 64 × r = 32

`\implies` r = `32/64 = 1/2`

∴ Required G.P. = a, ar, ar^{n – 1}, ar^{n – 2}, ..........

= `64, 32, 64 xx (1/2)^2, 64 xx (1/2)^3, ..........`

= 64, 32, 16, 8, .........