Simple Geometric Progressions

In a geometric sequence, each term is multiplied by the same number to get the next term

For example, in the sequence $2, 4, 8, 16$, each term is multiplied by $2$

To find the multiplier, compare one term with the next term

For example, in the sequence $3, 9, 27, 81$:

$3 \times 3 = 9$

$9 \times 3 = 27$

So the multiplier is $3$

Once you know the multiplier, use it to find the next term

For example, in the sequence $5, 10, 20, 40$:

The multiplier is $2$

The next term is $40 \times 2 = 80$