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 $40 \times 2 = 80$