(Q22).Which of the following are G.P. ? If they are G.P, write three more terms,

(i) 4, 8, 16, ……

Given: 4, 8, 16, ……

where, a1 = ; a2 = ; a3 = , ……

a2
a1
 =
=
a3
a2
 =
=
∴ r =
a2
a1
 =
a3
a2
 =

Hence 4, 8, 16, … is a G.P.

where a = 4 and r = 2

a4 = a . r3 = 4 × 3 = 4 × =

a5 = a . r4 = 4 × 4 = 4 × =

a6 = a . r5 = 4 × 5 = 4 × =