Multiple choice

Find the missing term in the followinng sequence. $12, ?, 168, 504, 1260, 2520$

  1. $96$
  2. $59$
  3. $61$
  4. $48$

  5. None of these
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D Correct answer
Explanation

The pattern is multiplying by increasing factors: 12 * 4 = 48, 48 * 3.5 = 168, 168 * 3 = 504, 504 * 2.5 = 1260, 1260 * 2 = 2520. The missing term is 48.

AI explanation

Look at the ratio between consecutive terms to find the underlying pattern. Dividing 2520 by 1260 gives 2, dividing 1260 by 504 gives 2.5, and dividing 504 by 168 gives 3. This shows the multipliers are decreasing by 0.5 at each step. Working backwards from 168, the preceding ratio must be 3.5, which means the missing term is 168 divided by 3.5, resulting in 48.

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