Remember: Find the rule by looking at the jump between terms. Then use why: a start that is a multiple, plus a step that is the same multiple, keeps every term a multiple.
Find the rule and go further
1
Which rule makes this pattern? 4, 11, 18, 25
add 6add 7multiply by 3
2
The rule is start at 6 and add 7. What number comes next?
3
Each step has 5 more tiles than the step before. Step 1 has 3 tiles. How many tiles are in step 5?
4
The rule is start at 4 and add 9. What is the 6th term?
5
The bars show a pattern. What is the next term?
Reasons and spots
6
The rule is start at 5 and add 4. Will 100 be in the pattern?
Yes. The terms keep growing, so they reach 100.Yes. 5 is the start, and 100 is a multiple of 5.No. Every term is odd, and 100 is even.
7
The rule is start at 60 and subtract 6. Will 27 be in the pattern?
No. Every term is a multiple of 6, and 27 is not.Yes. The terms keep going down, so they reach 27.Yes. Every term is even, and 27 is even.
8
The terms are 6, 12, 18, 24. Why is every term a multiple of 6?
The start is a multiple of 6, and each step adds 6.Every number is a multiple of 6.It happens because the terms get bigger.
9
A pattern that starts at 10 and adds 10 has terms that all end in 0.
TrueFalse
10
Join each rule to its pattern.
1Start at 2, add 9
2Start at 80, subtract 15
3Start at 4, multiply by 2
4Start at 7, add 6
A7, 13, 19, 25
B80, 65, 50, 35
C4, 8, 16, 32
D2, 11, 20, 29
11
All four patterns start at 5. Put their 4th terms in order from least to greatest.
add 3 each step
add 10 each step
multiply by 2 each step
add 5 each step
12
Pip makes a pattern: start at 3 and add 6. Write the first five terms. Write one thing you notice that the rule did not say.
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