WBCS.LIVE practice question

What is the missing number? 1, 2, 10, 37, 101, ______ ?

Solve this multiple-choice question and check the correct answer with its explanation below.

Answer options

  1. 320
  2. 226
  3. 206
  4. 402

Correct answer and explanation

Correct answer: 226

Explanation: āœ… Correct Answer: B. 226 šŸ“š Explanation: The sequence follows a pattern based on adding the squares of prime numbers or an increasing gap: +1, +8, +27, +64. These gaps are the cubes of consecutive integers (1 cubed, 2 cubed, etc.). Wait, checking: 37 + 64 = 101. The next gap should be 5 cubed, which is 125. Adding 125 to 101 gives '226'. Identifying this power-based progression in the differences solves the series.