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What is the next number in the series 2, 6, 12, 20, 30, ?
36
40
42
44
42
The given series follows a pattern of increasing differences between consecutive terms: 2 to 6 has a difference of 4, 6 to 12 has a difference of 6, 12 to 20 has a difference of 8, and 20 to 30 has a difference of 10. Following this arithmetic progression of differences where each difference increases by 2, the next difference is 12, yielding 30 + 12 = 42.
The given series follows a pattern of increasing differences between consecutive terms: 2 to 6 has a difference of 4, 6 to 12 has a difference of 6, 12 to 20 has a difference of 8, and 20 to 30 has a difference of 10. Following this arithmetic progression of differences where each difference increases by 2, the next difference is 12, yielding 30 + 12 = 42.
Number series patterns and arithmetic progressions form a foundational component of quantitative aptitude tested extensively across Indian competitive examinations such as RRB, SSC, and Banking exams.
The differences between consecutive numbers form an arithmetic sequence: 4, 6, 8, 10.
The common difference between these successive differences is 2.
Adding the next logical difference (12) to the last term (30) results in 42.
Option A (36) is incorrect and results from adding an incorrect difference of 6.
Option B (40) is incorrect and results from a calculation error in the sequence of differences.
Option D (44) is incorrect and corresponds to adding a difference of 14 instead of 12.
Alternatively, the series can be expressed as n multiplied by (n+1) for n = 1 to 6, giving 1x2=2, 2x3=6, 3x4=12, 4x5=20, 5x6=30, and 6x7=42.
C is correct тАФ The next number in the series is 42 following the pattern of increasing differences.
Mastering sequential differences and algebraic patterns helps solve both quantitative number series and logical reasoning missing-number puzzles efficiently.
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