Complete the Number Sequence

CMAT 2021 · Logical Reasoning · Medium · Logical Reasoning

Complete the sequence: 30, 56, 90, _____, 182, 240.

  1. A.

    145

  2. B.

    132

  3. C.

    110

  4. D.

    160

Answer

B

Explanation

Look at the first differences between consecutive terms: 56−30=2656 - 30 = 26 90−56=3490 - 56 = 34 Notice that 34−26=834 - 26 = 8. The second difference is 8. Continuing this pattern: Next first difference =34+8=42= 34 + 8 = 42 Missing term =90+42=132= 90 + 42 = 132 Checking further: 132+(42+8)=132+50=182132 + (42 + 8) = 132 + 50 = 182, and 182+58=240182 + 58 = 240, which matches.

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