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# Find the next two lines of this triangle! watch

1. A little something my teacher asked me to solve a couple of weeks ago. The aim is to find the next two lines of the triangle. Its quite interesting and definetely made me think.

And the first person to do this will recieve the beloved rep tomorrow.
Enjoy!!
Attached Images

2. What the hell are you on about?
3. pimping triangle there
4. Do we have to be on acid to work it out?
5. damn...the attatchement didn't work
6. I'm stuck working out the first line... O.o
7. (Original post by zafaru123)
A little something my teacher asked me to solve a couple of weeks ago.
Can't your teacher solve the problems himself without getting others to solve them?
8. (Original post by aphirst)
I'm stuck working out the first line... O.o
I think you have to use imaginary numbers to solve imaginary problems.
9. lol...firstly, the acid is not required...and i don't why she asked me...but only one teacher in our whole maths department got it
10. this: triangle

this: not a triangle
11. its triangle-shaped
12. Spoiler:
Show

1/7 1/42 1/105 1/140 1/105 1/42 1/7

1/8 1/56 1/168 1/280 1/280 1/168 1/56 1/8

Hope there's no numerical slips, as I couldn't be bothered to go and find a calculator
13. If it's "triangle shaped" and we have to find the "next two lines"..... wtf are we meant to be doing?
14. (Original post by tommm)
Spoiler:
Show

1/7 1/42 1/105 1/140 1/105 1/42 1/7

1/8 1/56 1/168 1/280 1/280 1/168 1/56 1/8

Hope there's no numerical slips, as I couldn't be bothered to go and find a calculator
and we have a winner...you solved it a minute quicker then me lol...will rep you tomorrow.
15. (Original post by heflob)
1/7 1/42 1/210 1/840 1/210 1/42 1/7

1/8 1/56 1/336 1/1680 1/1680 1/336 1/56 1/8

As far as I can tell

Did I win?
the outer bits are correct, but not the inner ones
16. The 1/30 looked pretty random to me. I suppose there is a pattern?
17. may i ask tomm...what method did you use
18. If you can't spot the pattern:

Spoiler:
Show
19. yes theres a pattern, take the first two lines for example. 1/2 add a 1/2=1/1. the number above of them. so 1/3 add a 1/6=1/2 (the number above the two fractions)
20. (Original post by zafaru123)
may i ask tomm...what method did you use
Spoiler:
Show
A fraction (let's call it A) and the two fractions below it (B and C) are related by A = B + C. We can rearrange this to find that C = A - B, and I just did this for every fraction.

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