Question

Graph the six terms of a finite series where a1 = −3 and r = 1.5.

Answer 1

the answer is C

Explanation:

Answer 2

We are given the first term and the common ratio, this means they belong to a geometric series.

For the given series:


`a_(1)=-3 \\ r=1.5`

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:


`a_(n)=-3(1.5)^(n-1)`

On plotting the series, the result will be like this: