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Question

# What comes next in the pattern: 2, 5, 10, 17, 26, 37, 50, 65, ___

A
82
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B
56
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C
78
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D
80
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Solution

## The correct option is A 82The sequence follows 2, 5, 10, 17, 26, 37, 50, 65, ___. We can observe, 5 - 2 = 3 10 - 5 = 5 17 - 10 = 7 26 - 17 = 9 37 - 26 = 11 50 - 37 = 13 65 - 50 = 15 If we find the difference between the differences between any two consecutive terms, it is equal to 2. So, the next term in the sequence will be (15 + 2) or 17 more than the last given term. That is, 65 + 17 = 82

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