Question -
Answer -
Given:
an =2/3n
Let us consider n = 1,2, 3, 4, … since n is a natural number.
So,
a1 =2/3
a2 =2/32 = 2/9
a3 =2/33 = 2/27
a4 =2/34 = 2/81
In GP,
a3/a2 =(2/27) / (2/9)
= 2/27 × 9/2
= 1/3
a2/a1 =(2/9) / (2/3)
= 2/9 × 3/2
= 1/3
∴ Common ratio ofconsecutive term is 1/3. Hence n ∈ N is a G.P.