Multiple choice

Find the missing number in the given series 0 , 7 , 26 , 63 , 124 , 215 , ?

  1. 430

  2. 342

  3. 442

  4. 300

  5. 276
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B Correct answer
Explanation

The series follows the pattern n^3 - 1: 1^3-1=0, 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

The given series follows the pattern of cubes of natural numbers minus one, expressed as n^3 - 1. Applying this to the first few integers gives 1^3 - 1 = 0, 2^3 - 1 = 7, 3^3 - 1 = 26, and continuing this sequence yields 6^3 - 1 = 215. Therefore, the next term is calculated as 7^3 - 1, which equals 343 - 1 = 342.

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