# Proportional Sequences

## Proportional Sequences

Two sequences where the second sequence can be found by multiplying each term in the first sequence by the same number are proportional sequences.

### Example

The sequences s1 = {1, 1, 2, 3, 5, 8, 13, 21, …} and s2 = {2, 2, 4, 6, 10, 16, 26, 42, …} are proportional because we find the second by multiplying each term in the first sequence by 2.

The coefficient of proportionality between these two sequences is 2. The proportionality constant is $$\frac{1}{2}$$.