A number theory problem by A Former Brilliant Member

Number Theory Level 2

What is the next number in this series?

4, 12, 84, 3612....


The answer is 6526884.

A Former Brilliant Member by A Former Brilliant Member

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2 solutions

Answer 6526884. To get from 4 to 12, you use the following formula. 12 = (4 squared)/2 + 4.

Continue on with (X^2)/2 + X.

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Somnath Singh
Apr 17, 2014

(N + 1 )th Term = (N / 2 + 1) * N ..

Example :- 2nd Term = (1st Term /2 + 1) * Ist Term = ( 4 /2 + 1) * 4 = 3*4 = 12

Final Answer = (3612 / 2 + 1) * 3612 = 6526884 (Ans)

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