Multiple choice

Find the missng term in the following number series- 20 37 64 103 156 ?

  1. 188

  2. 225

  3. 216

  4. 240

  5. None of these
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B Correct answer
Explanation

Find the pattern in the differences between consecutive terms. The differences are: 37-20=17, 64-37=27, 103-64=39, 156-103=53. Now observe the second-level differences: 27-17=10, 39-27=12, 53-39=14. The second-level differences increase by 2 each time (10, 12, 14). So the next second-level difference should be 16, making the next first-level difference 53+16=69. Therefore, the next term is 156+69=225.

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