Multiple choice

Find the pattern of the given series and answer the following question. ?, 6, 30, 210, 1890, 20790 If the difference between Y and the missing term of the above series is 11, and Y is greater than the missing term, then find the value of Y/2.

  1. 13

  2. 8.5

  3. 6.5

  4. 10

  5. 15
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C Correct answer
Explanation

Series: ?, 6, 30, 210, 1890, 20790. Pattern: 6*5=30, 30*7=210, 210*9=1890, 1890*11=20790. The missing term is 6/3 = 2. If Y - 2 = 11, Y = 13. Y/2 = 6.5.

AI explanation

The series is generated by multiplying the previous term by consecutive odd numbers, which is verified by 6×5=30, 30×7=210, 210×9=1890, and 1890×11=20790. Working backward, the missing first term is found by dividing 6 by 3, which gives 2. Since Y is greater than the missing term by 11, Y equals 2 plus 11, which is 13. Dividing this value of Y by 2 gives the final result of 6.5.

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