Question

Find the G.P. whose 2nd term is 12 and 6th term is 27 times the 3rd term.

Answer 1

Let GP a, ar, ar², ar³ .... a_n = `ar^(n - 1)`

ar = 12

a₆ = 27a₃

ar⁵ = 27(ar²)

r³ = 27

⇒ r = 3

a = `12/3`

a = 4

GP is given as 4, 12, 36, ...