Question

Identify the following sequence is in G.P.?

`1/3, 1/6, 1/12, ...`

Answer 1

`1/3, 1/6, 1/12, ...`

r = `("t"_2)/("t"_1)`

= `(1/6)/(1/3)`

= `1/6 xx 3/1 = 1/2`

r = `("t"_3)/("t"_2)`

= `(1/12)/(1/6)`

= `1/12 xx 6/1 = 1/2`

r = `1/2 = 1/2`

∴ It is a G.P.