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What will replace the question mark (?) in the following series?1, 3, 9, 39, 249, 2559, ?.

Question

What will replace the question mark (?) in the following series?

1, 3, 9, 39, 249, 2559, ?.

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Solution

The pattern in the series is as follows:

  • From 1 to 3, multiply by 2 and add 1 (1*2 + 1 = 3)
  • From 3 to 9, multiply by 3 and add 0 (3*3 + 0 = 9)
  • From 9 to 39, multiply by 4 and subtract 1 (9*4 - 1 = 35)
  • From 39 to 249, multiply by 6 and add 9 (39*6 + 9 = 243)
  • From 249 to 2559, multiply by 10 and add 109 (249*10 + 109 = 2599)

So, the pattern seems to be alternating between adding and subtracting, with the multiplier increasing by 2 each time and the number to be added or subtracted increasing by 1 each time.

Following this pattern, the next step would be to multiply by 12 and subtract 111. So, the number that would replace the question mark would be 2559*12 - 111 = 30609.

This problem has been solved

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