Solved 2, 5, 10, 17, 26, ?
- 40
- 45
- 37
- 42
Explanation
We'll look at the differences between terms:
5 − 2 = 3
10 − 5 = 5
17 − 10 = 7
26 − 17 = 9
So the differences are: 3, 5, 7, 9 → increasing by 2 each time (an arithmetic sequence).
The next difference should be: 11
Now add 11 to the last term:
26 + 11 = 37
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