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
15 + 6 = 21
21 + 7 = 28
28 + 8 = 36
36 + 9 = 45
LEARN ABOUT IT Some problems can be solved by recognizing a pattern. Make a table to help you. 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? I'll make a table and look for a pattern.
Shelf
1
2
3
4
5
6
Loaves
1
3
5
7
9
11
I see the pattern. There are 2 more loaves on each shelf. I've completed the table to shelf 6. Daniel put 11 loaves on shelf 6.
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
15 + 6 = 21
21 + 7 = 28
28 + 8 = 36
36 + 9 = 45
LEARN ABOUT IT
Some problems can be solved by recognizing a pattern. Make a table to help you.
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?
I'll make a table and look for a pattern.
I see the pattern. There are 2 more loaves on each shelf. I've completed the table to shelf 6.
Daniel put 11 loaves on shelf 6.