Question

Solve.

One pattern starts at O 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?
Show your work.

I know how to do the pattern but I don’t know how they compare.

Answer 1

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

Second pattern 0, 5, 10, 15, 20, 25

the first pairs are equal

the second pair are different by 3

the third pair is different by 6

the fourth pair is different by 9

Here we see pattern that every subsequent pair differs from the previous pair's margin by +3. In terms of formulas The difference between 2 pairs is given by 3(n-1) where n is the starting number of the pair(Considering (0;0) pair as the 1.

Short answer

The n-th term in the first pattern compared to the

corresponding n-th term in the second pattern differ by 3*(n-1)