Having promised something more numerical this week, here we go:

0, 4, 2, 6, 3, 7, 3.5, ?

Which number should replace the question mark?

Good luck, and the answers will go up on Friday.

Vel.

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Having promised something more numerical this week, here we go:

0, 4, 2, 6, 3, 7, 3.5, ?

Which number should replace the question mark?

Good luck, and the answers will go up on Friday.

Vel.

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November 9, 2009 at 7:36 pm

Considering 4/2 is 2 and 6 is 4 more than 2 and it keeps going like that I would assume the correct answer is 3.5 + 4 which is 7.5.

November 9, 2009 at 8:05 pm

Yes, that’s what I was thinking too although I’m not sure for the same reasons. If you look, the gap between every second number is halving – 0 ->2 gap =2, 2->3 gap = 1 etc. Just apply it to 4, 6, 7 and the next should be 7.5

November 9, 2009 at 8:57 pm

This in itself highlights why sequences are sometimes hard to work out – simply because the next number is whatever Veliaf wants it to be.

For example if you consider

1,2,3,4,5,6,7,8,9

What is the next number? Is it 10, or 0?

If you put the numbers 1 through 31.. what is the next number… 32?

Or is it the months, with their being 31 days in January and the next number being 1 for the first of February?

Had an argument with a maths teacher about this once, when he told me my solution was wrong… so sorry for venting! ;P

In saying that I came up with the same solution as Belsebub for the next possible number ðŸ™‚

November 9, 2009 at 10:27 pm

I have a similar story about maths teachers, but he at least had the decency to admit he was wrong. I read a really interesting article about it once – basically, the exam for the UK Sats test (which was a test that up until last year had to be taken at age 14) from a fair time ago had a series question for what should’ve been an obvious one. It wasn’t as simple as your list of the natural numbers but it was still very easy. The vast majority of students got it right and there was a small minority who made silly mistakes, but there was a tiny minority of who got it wildly. He tracked them down and discovered that every one of them had a legitimate solution, just not the one expected in the parameters of an exam.

I have this really odd feeling that it was first pointed out by Wittgenstein actually…

November 9, 2009 at 10:29 pm

Argh, I must learn to proof read! That should say “tiny minority who got it wildly WRONG”

November 10, 2009 at 6:32 am

“the next number is whatever Veliaf wants it to be.”

*cackles madly* I’m glad you’re all enjoying yourself. Remember to enter my current contest while you’re here ðŸ˜€