Find the number that can replace the question mark in the following series: 2, 12, 30, 56, 90, ?
Question and options
Find the number that can replace the question mark in the following series: 2, 12, 30, 56, 90, ?
- 132
- 146
- 136
- 128
Answer and explanation
Correct answer: A - 132
Each term is a product of consecutive numbers: 1 x 2, 3 x 4, 5 x 6, 7 x 8 and 9 x 10. The next is 11 x 12 = 132. Equivalently the differences 10, 18, 26, 34 rise by 8, so the next difference is 42 and 90 + 42 = 132; 128 and 136 break this pattern.
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