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What should come in place of ‘?’ in the given series? 12 18 28 34 44?
50
52
54
56
50
Observe the alternating difference pattern: add 6, then add 10, repeat. Alternatively, check the sequence of differences: +6, +10, +6, +10, +6.
Observe the alternating difference pattern: add 6, then add 10, repeat. Alternatively, check the sequence of differences: +6, +10, +6, +10, +6.
Analyze the differences between consecutive terms
Calculate the difference between each term: 18 - 12 = 6, 28 - 18 = 10, 34 - 28 = 6, 44 - 34 = 10.
Identify the repeating pattern
The differences are 6, 10, 6, 10. Following this logic, the next difference must be 6.
Apply the next difference to find the missing term
Add 6 to the last term: 44 + 6 = 50.
B: 52 results if one incorrectly adds 8, C: 54 results if one incorrectly adds 10 again, D: 56 results if one ignores the alternating pattern and adds 12.
A is correct because the series follows a repeating pattern of adding 6 and 10 alternately, and 44 plus 6 equals 50.
In number series, if the difference between terms is not constant, always look for an alternating pattern or a secondary series of differences.