Question

One pattern starts at 0 and follows the rule add 2. Another pattern starts at 0 and follows the rule add 5. How do the terms in the first pattern campare to the corresponding terms in the corresponding terms in the second pattern?

Answer 1

Each term in the first pattern is 2/5 of the corresponding term in the second pattern.

Explanation:

First pattern terms are 0, 2, 4, 6, 8.

Second pattern terms are 0, 5, 10, 15, 20.

Since both patterns start from 0 and grow at a constant rate, the ratio of terms in one pattern to those in the other pattern will be constant. Here, that ratio is 2/5.

The first pattern is 2/5 of the second pattern.