In a G.P., 5^th term is 27 and 8^th term is 729. Find its 11^th term.

Given, a₅ = 27 and a₈ = 729.
=>ar⁴ = 27 and ar⁷ = 729
On dividing we get,

 r³ = 27 $\Rightarrow r=3$
$\Rightarrow$ a = 27 / (3⁴) = 1/3
$\Rightarrow$a₁₁ = ar¹⁰ = (1/3) (3¹⁰) = $3^9$ = 19683.