1
Question
What comes next in the pattern:
2, 5, 10, 17, 26, 37, 50, 65, ___
What comes next in the pattern:
2, 5, 10, 17, 26, 37, 50, 65, ___
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Solution
The correct option is A 82
The 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
The 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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