Can you find the pattern?

Level 2

What is the 8th number in this series?

12, 6, 4, 3, 12, 2, 12...


The answer is 3.

Finn Hulse by Finn Hulse , 21, USA

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2 solutions

Finn Hulse
Jan 26, 2014

In this problem, the pattern is this: the nth term is the denominator in the simplified form of the fraction: (12-n)/12. So it goes 11/12, 5/6, 3/4, 2/3, 7/12, 1/2, etc. Therefore the 8th term is 3.

3 Helpful 0 Interesting 0 Brilliant 0 Confused

Finn, you will never believe how close I came to the answer! I got 12/n= that integer, but I couldn't figure out the 12s! Also, I noticed that each number times n^2 equals 12,24,36,48...,(I am sure you could find out why that is) but I still could not get the twelves to work! Great problem!

Emery Shelly - 7 years, 4 months ago

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Dude, thanks!

Finn Hulse - 7 years, 4 months ago

Wow I didn't do it like that and I still got it right

Dick He - 7 years, 4 months ago

Wow. I looked at it and noticed every 4th number was probably an odd number. Then looked at the other patterns and narrowed my choices down to 1, and 3. I guessed 1 the first time, but then again, it doesn't hurt to throw out your answers unless it's totally unreasonable. I've seen many sequences and patterns, and this is definitely one of my favorites.

Robert Fritz - 7 years, 4 months ago

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Thanks!

Finn Hulse - 7 years, 4 months ago

Great Awesome :) :)

Aravind Raghavan - 7 years, 3 months ago
Dick He
Jan 26, 2014

Lol, easy. No logical pattern but as you see the pattern is a, b, c, d, a, e... So the next number would be 3. To be honest I was surprised this was the answer

0 Helpful 0 Interesting 0 Brilliant 0 Confused

Yeah, I figured that would be the case for some people.

Finn Hulse - 7 years, 4 months ago

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