FIND+A+PATTERN

Find a Pattern

Question: Carol has written a number pattern that begins with 1, 3, 6, 10, 15. If she continues this pattern, what are the next four numbers in her pattern?

Strategy:

1) UNDERSTAND:

What do you need to find?

You need to find 4 numbers after 15.

2) PLAN:

How can you solve the problem?

You can find a pattern. Look at the numbers. The new number depends upon the number before it.

3) SOLVE:

Look at the numbers in the pattern.

3 = 1 + 2 (starting number is 1, add 2 to make 3)

6 = 3 + 3 (starting number is 3, add 3 to make 6)

10 = 6 + 4 (starting number is 6, add 4 to make 10)

15 = 10 + 5 (starting number is 10, add 5 to make 15)

New numbers will be

<span style="font-family: Georgia,serif; font-size: 140%;">15 + 6 = 21

<span style="font-family: Georgia,serif; font-size: 140%;">21 + 7 = 28

<span style="font-family: Georgia,serif; font-size: 140%;">28 + 8 = 36

<span style="font-family: Georgia,serif; font-size: 140%;">36 + 9 = 45

<span style="font-family: Georgia,serif; font-size: 140%;">LEARN ABOUT IT <span style="font-family: Georgia,serif; font-size: 140%;">Some problems can be solved by recognizing a pattern. Make a table to help you. <span style="font-family: Georgia,serif; font-size: 140%;">Daniel arranged loaves of bread on 6 shelves in the bakery. He put 1 loaf on the top shelf, 3 loaves on the second shelf, and 5 loaves on the third shelf. If he continues this pattern, how many loaves did Daniel put on the 6th shelf? <span style="font-family: Georgia,serif; font-size: 140%;">I'll make a table and look for a pattern.


 * <span style="font-family: Georgia,serif; font-size: 140%;">Shelf || <span style="font-family: Georgia,serif; font-size: 140%;">1 || <span style="font-family: Georgia,serif; font-size: 140%;">2 || <span style="font-family: Georgia,serif; font-size: 140%;">3 || <span style="font-family: Georgia,serif; font-size: 140%;">4 || <span style="font-family: Georgia,serif; font-size: 140%;">5 || <span style="font-family: Georgia,serif; font-size: 140%;">6 ||


 * <span style="font-family: Georgia,serif; font-size: 140%;">Loaves || <span style="font-family: Georgia,serif; font-size: 140%;">1 || <span style="font-family: Georgia,serif; font-size: 140%;">3 || <span style="font-family: Georgia,serif; font-size: 140%;">5 || <span style="font-family: Georgia,serif; font-size: 140%;">7 || <span style="font-family: Georgia,serif; font-size: 140%;">9 || <span style="font-family: Georgia,serif; font-size: 140%;">11 ||

<span style="font-family: Georgia,serif; font-size: 140%;">I see the pattern. There are 2 more loaves on each shelf. I've completed the table to shelf 6. <span style="font-family: Georgia,serif; font-size: 140%;">Daniel put 11 loaves on shelf 6. <span style="font-family: Georgia,serif; font-size: 140%;">