What comes next?

Algebra Level pending

Find the next number in the following pattern:

1, 2, 2, 4, 2, 4, 2, 4, 6, 2, 6, ............

Note: This problem is not original


The answer is 2.

Martin Nikolov by Martin Nikolov , 20, Bulgaria

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1 solution

Siddharth Gupta
Oct 18, 2014

Break the series in two sub-series with alternate numbers in it. You get 1, 2, 2, 2, 6 , 6............ 2, 4, 4, 4, 2, ............. Missing number is 2.

Solution does'nt seem to be very logical, if any one figured it out, please upload your solution.

2 Helpful 0 Interesting 0 Brilliant 0 Confused

We take the difference between each two prime numbers ; 3-2=1 5-3=2 7-5=2 11-7=4 13-11=2 17-13=4 19-17=2 23-19=4 29-23=6 and so on...

Martin Nikolov - 6 years, 7 months ago

I left the first two nos. then it was like alternate (2,4,2,4,2,4...) that way (6,2,6..)

Sumanth Girish - 6 years, 7 months ago

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