Multiple choice

Directions: Identify the missing number in the given series. 7, 26, 63, 124, 215, ?

  1. 342

  2. 397

  3. 428

  4. 645

  5. None of these
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A Correct answer
Explanation

The series follows the pattern n^3 - 1: 2^3-1=7, 3^3-1=26, 4^3-1=63, 5^3-1=124, 6^3-1=215. The next term is 7^3-1 = 343-1 = 342.

AI explanation

Observe the relationship between the terms and the cubes of consecutive integers. The first term 7 is 2 cubed minus 1, the second term 26 is 3 cubed minus 1, the third term 63 is 4 cubed minus 1, the fourth term 124 is 5 cubed minus 1, and the fifth term 215 is 6 cubed minus 1. Following this pattern of cubes minus one, the next term is 7 cubed minus 1. Calculating 7 cubed gives 343, and subtracting 1 yields 342.

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