Number 2

Number Theory Level 1

What comes next:

4, 7, 40, 1591...

3173 2531272 3182 2531281

Maxwell Johnson by Maxwell Johnson , 21, United Kingdom

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2 solutions

Sonali Srivastava
Jul 18, 2014

4^2-9=7 7^2-9=40 40^2-9=1591 thus 1591^2-9=2531272

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Michael Fischer
Jul 18, 2014

After noticing that the values are increasing rapidly, I finally noticed that each value is the preceding value squared minus 9.

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