Q2 of 176 Page 21

Show that the sequence defined by n ∈ N is a G.P.

Put n = 1,2,3,4…

a₁, a₂, a₃, a₄

⇒

If a₁, a₂, a₃ …

⇒ (a₂)² = a₁.a₃

⇒

So, It is GP.

Common ratio

Show that each one of the following progressions is a G.P. Also, find the common ratio in each case :

i. 4, -2, 1, ,….

iii.

iv.

Find:

the ninth term of the G.P. 1, 4, 16, 64, ….

Find:

the 10^th term of the G.P.

Find:

the 8^th term of the G.P., 0.3, 0.06, 0.012, ….