Question

For the G.P., if a = `7/243, "r" = 1/3`, find t₃.

Answer 1

Given, a = `7/243, "r" = 1/3`

t_n = ar^n–1

∴ t₃ = `7/243 xx (1/3)^(3 - 1)`

= `7/243 xx (1/3)^2`

= `7/243 xx 1/9`

= `7/2187`.