Question

One pattern starts at 0 and follows the rule "add 2". Another pattern starts at 0 and follows the rule "add 5". Write the first 6 numbers in each pattern. How do the terms in the first pattern compare to the corresponding terms in the second pattern?

Answer 1

36.5

Explanation:

If you take 16 and devide by 2 and add 13 you get 21 then do the same thing to 21 and you get 23.5 then lastly do it again to 23.5 and get 36.5

Answer 2

• 0, 2, 4, 6, 8, 10
• 0, 5, 10, 15, 20, 25

Explanation:

The numbers in each pattern are found by following the directions in the rules: start with 0 and add some constant to each term to get the next term.

First Pattern:

0, 2, 4, 6, 8, 10, ...

Second Pattern:

0, 5, 10, 15, 20, 25, ...

The first pattern's terms are all 2/5 of the corresponding second pattern's terms.