Question

Find the 7th term of the geometric progression which begins. 2,-6,18

Answer 1

Explanation:

Find the rule:

2, -6, 18, ...

To get to -6, multiply by -3.

To get to 18, multiply by -3.

The rule is to multiply by -3.

Find the 7th term:

Multiply 18 by -3.

`-18 * 3 = -54`

-54 is the 4th term.

Multiply -54 by-3.

`-54 * -3 = 162`

162 is the 5th term.

Multiply 162 by -3.

`162 * -3 =-486`

-486 is the 6th term.

Multiply -486 by -3.

`-486 * -3 = 1458`

1458 is the 7th term.