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What should come in place of the question mark (?) in the given series? 18, 30, 42, 54, 66, ?
78
73
70
82
78
Observe that the difference between consecutive terms is constant; adding 12 to the previous term gives the next term.
Observe that the difference between consecutive terms is constant; adding 12 to the previous term gives the next term.
Analyze the series
The given series is 18, 30, 42, 54, 66. We calculate the difference between consecutive terms: 30-18=12, 42-30=12, 54-42=12, 66-54=12.
Apply the constant difference
Since the common difference is +12, add 12 to the last term: 66 + 12 = 78.
B: 73 is incorrect because the difference 73-66 is 7, not 12. C: 70 is incorrect because the difference 70-66 is 4, not 12. D: 82 is incorrect because the difference 82-66 is 16, not 12.
A is correct because the series follows an arithmetic progression with a constant common difference of 12 added to each term.
In any numerical series, always find the differences between consecutive terms first; if the differences are constant, it is a simple arithmetic progression.
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