Question

Dentify the relationship between corresponding terms of two patterns starting at zero. The first pattern follows the rule "add 9." The second pattern follows the rule "add 3." Q: A:

Answer 1

Check Explanation

Explanation:

Both Patterns start at 0

Pattern 1 follows the rule, add 9.

Pattern 1 has terms, 0, 9, 18, 27, 36, 45, 54, 63, 72, 81....

Pattern 2 follows the rule, add 3.

Pattern 2 has terms, 0, 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54...

It is evident that all of the terms of the first pattern will eventually occur in the second pattern at some regular points.

- They both have the same first terms.

- Both Patterns have terms that are all multiples of 3.

- Every 3rd term that occurs after the first term in the second pattern (that is, the 4th term, 7th term, 10th term, 13th term, 16th term etc.), all represent the terms of the first pattern.

Hope this Helps!!!