Multiple choice

In the following number series only one number is missing. Find out the missing number. 1, 3, 24, 360, 8640, 302400, ?

  1. 14525100

  2. 15415200

  3. 14515200

  4. 15425100

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The pattern is: term = previous term × n, where n increases starting from 3. 3 × 1 = 3, 3 × 8 = 24, 24 × 15 = 360, 360 × 24 = 8640, 8640 × 35 = 302400. The multipliers 3, 8, 15, 24, 35 follow pattern n² - 1 or similar. Actually: 3 = 2² - 1, 8 = 3² - 1, 15 = 4² - 1, 24 = 5² - 1, 35 = 6² - 1. Next multiplier is 7² - 1 = 48. So: 302400 × 48 = 14515200. This confirms option C.

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