Question

Is the following a geometric sequence 1.5, 2.25, 3.375, 5.0625,…?

Answer 1

Yes

Explanation:

The common ratio is `color(blue)(1.5)` (i.e. `a_n= 1.5xxa_(n-1)`)

`1.5 xx (color(blue)(1.5)) = 2.25`
`2.25 xx (color(blue)(1.5))=3.375`
`3.375 xx (color(blue)(1.5))=5.0625`