Question

Find the 10^th term of the G.P. :

`12, 4, 1 1/3, ................`

Answer 1

Given G.P. : `12, 4, 1 1/3, ................`

Here,

Fisrt term, a = 12

Common ratio, r = `4/12 = 1/3`

Now, T_n = ar^{n – 1}

`\implies` T₁₀ = `12xx(1/3)^9`

= `12 xx 1/19683`

= `4/6561`