We are given the first term and the common ratio, this means they belong to a geometric series.
For the given series:
[tex]a_{1}=-3 \\
r=1.5 [/tex]
Each term of the geometric series is obtained by multiplying the previous term by common ratio.
So the next terms will be:
-4.5, -6.75, -10.125, -15.1875, -22.78125
The general formula for the G.P would be:
[tex] a_{n}=-3(1.5)^{n-1} [/tex]
On plotting the series, the result will be like this:
