Question

Is the sequence geometric 2, 6, 18, 54,...?

Answer 1

Yes, the sequence is geometric

Explanation:

Let the series be `x_1, x_2, x_3, x_4, x_5, ....`

If the ratios `x_2/x_1=x_3/x_2=x_4/x_3=x_5/x_4 ...` (Let this ratio be `r`)

then the sequence is called geometric.

Here `r` is constantly `3`, Hence sequence is geometric