A problem by James Hadley

Level 2

Find the next number in the sequence:

  • 1
  • 8
  • 81
  • 1024
  • 15625
  • 279936
  • 5764801
  • 134217728
  • 3486784401
  • ???????????????


The answer is 100000000000.

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2 solutions

James Hadley
May 29, 2014

The sequence uses the formula: n^n+1, so the first is 1^1+1, or 1^2. The result is 1. This continues until the tenth, 10^10+1, which is 100000000000.

Unstable Chickoy
Jun 13, 2014

1 0 11 = 100 , 000 , 000 , 000 10^{11} = \boxed{100,000,000,000}

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