Multiple choice

Choose the next term in the logical series: 6, 24, 60, 120, 210, ?

  1. 330

  2. 336

  3. 342

  4. 350

  5. 260
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B Correct answer
Explanation

The terms of the series follow the pattern n^3 - n for consecutive integers starting from n = 2. Specifically, 2^3 - 2 = 6, 3^3 - 3 = 24, 4^3 - 4 = 60, 5^3 - 5 = 120, and 6^3 - 6 = 210. The next term is 7^3 - 7 = 343 - 7 = 336.

AI explanation

The series is based on the pattern of the product of three consecutive natural numbers, represented by the formula n(n + 1)(n + 2). The first term is 1x2x3 = 6, the second is 2x3x4 = 24, and the third is 3x4x5 = 60. Following this logic, the missing term is the product of 6, 7, and 8, which is 6x7x8 = 336.

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