Multiple choice

Find the missing term in the following series. 8, 40, 210, 1155, 6641.25, ?

  1. 39843.5

  2. 39847.5

  3. 39863.5

  4. 39852.5

  5. 39878.5

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B Correct answer
Explanation

Pattern: 8*5 = 40, 40*5.25 = 210, 210*5.5 = 1155, 1155*5.75 = 6641.25. Next term: 6641.25 * 6 = 39847.5.

AI explanation

The pattern involves multiplying the previous term by an increasing decimal and then adding an increasing integer. To get from 8 to 40, you multiply by 5; from 40 to 210, you multiply by 5.25; from 210 to 1155, you multiply by 5.5; and from 1155 to 6641.25, you multiply by 5.75. Continuing this pattern, the next multiplier is 6, making the calculation 6641.25 times 6. The result is 39847.5.