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Name: ___________________________
Number Patterns
In this exercise set you’re going to use inductive reasoning to look for
the next number or letter in a sequence. “How will I find it?” you might
ask. You’ll have to guess. Your guess, however, should be a good guess
– not a wild one. One way to do this is to look for at the differences
between the numbers. A second way is to look for a common multiplier.
A third way is to be on the lookout for perfect squares.
Use inductive reasoning to find the next two terms of each sequence. Be
able to explain how you got your answer.
1. 0, 10, 21, 33, 46, 60, ??
2. 180, 360, 540, 720, ??
3. 1, 3, 6, 10, 15, 21, ??
4. 1/6, 1/3, 1/2, 2/3, ??
5.
1, 10, 100, 1000 , ??
6. 1, 4, 9, 16, 25, 36, ??
7. W, T, Q, N, K, H, ??
8. ½, ¼, 1/8, 1/16, ??
9. a, 6, c, 12, e, 18, ??
10. ½, 9, 2/3, 10, ¾, 11, ??
Name: ___________________________
Number Patterns
11. A, B, D, G, K, ??
12. 1, 1, 2, 3, 5, 8, 13, ??
13. 1, 3, 4, 7, 11, 18, ??
14. 1, 2, 4, 8, 16, 32, ??
15. 1, 3, 7, 15, 31, 63, ???
16. 0, 3, 8, 15, 24, 35, ??
17. 2, 6, 15, 31, 56, 92, ??
18. 2, -4, 8, -16, 32, ??
Hard Ones
1. O, T, T, F, F, S, S, E, N, ??
2. A E F H I K L M N T V W
BCDGJOPQRSU
Where do X, Y, and Z go?
3. B, 0, C, 2, D, 0, E, 3, F, 3, G, ??
4. 4, 8, 61, 221, 244, 884, ??