Find out which of the following sequences are geometric sequences. For those geometric sequences, find the common ratio.
0.004, 0.02, 0.1,….

Question

Find out which of the following sequences are geometric sequences. For those geometric sequences, find the common ratio.0.004, 0.02, 0.1,….

Philoid · Accepted Answer

(Note: Sequences are in G.P. if they have common ratios

i.e., if

)

Given: a₁ = 0.004, a₂ = 0.02, a₃ = 0.1

Now,

And,

Therefore,

Now, ∵ the ration is same,

⇒ 0.004, 0.02, 0.1, … is a G.P with common ratio = 5