sinjun: (dragon-embroidered)
sinjun ([personal profile] sinjun) wrote2004-02-16 01:56 pm

Today's puzzle

Since I posted yesterday's earlier, here's the one on my calendar for today:

Find the number that best completes the sequence below.

1 4 16 ? 256
wibbble: A manipulated picture of my eye, with a blue swirling background. (Default)

[personal profile] wibbble 2004-02-16 11:05 am (UTC)(link)
64

[identity profile] proudsky.livejournal.com 2004-02-16 11:08 am (UTC)(link)
64

(Solved before I saw Wibble's response)

[identity profile] insaint.livejournal.com 2004-02-16 11:09 am (UTC)(link)
64.

Hmph. Why are all the numerical puzzles ridiculously easy while language ones take a bit of an effort? The calendar is biased, I tell ya. :)

Re:

[identity profile] ringzero.livejournal.com 2004-02-16 11:47 am (UTC)(link)
Yeah, but most people are really bad at math.

[identity profile] damara.livejournal.com 2004-02-16 12:38 pm (UTC)(link)
Yup.

Did you get the word puzzle?

Re:

[identity profile] eustacio.livejournal.com 2004-02-16 12:49 pm (UTC)(link)
Haven't had a chance yet. Have to go to class soon. That and when I was replying, I clicked on the wrong link and already saw the answer.

So, you know, I do /know/ the answer...but it wouldn't be very fair for me to post it, now would it? @#;+)

Re:

[identity profile] damara.livejournal.com 2004-02-16 12:58 pm (UTC)(link)
*snugs*

That happens. But there will be other word puzzles I'm sure. ;)

[identity profile] flashfire.livejournal.com 2004-02-16 04:14 pm (UTC)(link)
64. That's supposed to be a challenge? ;-)

All it is is the previous number multipled by 4. :-)
wibbble: A manipulated picture of my eye, with a blue swirling background. (Default)

Re:

[personal profile] wibbble 2004-02-16 05:10 pm (UTC)(link)
Or it's increasing squares:

1^2 = 1
2^2 = 4
4^2 = 16
8^2 = 64
16^2 = 256

Perhaps a better puzzle would've been to find both explanations for the sequence. ;o)

Re:

[identity profile] flashfire.livejournal.com 2004-02-16 05:13 pm (UTC)(link)
That works, too. Looks like six of one, half a dozen of the other. You could still do 256 x 4 or 322 and come up with 1024.
wibbble: A manipulated picture of my eye, with a blue swirling background. (Default)

Re:

[personal profile] wibbble 2004-02-16 05:18 pm (UTC)(link)
*nods*

If you double the root, because you're squaring, it's always going to be a four-fold increase.

I guessed 64 right away, and had to spend a minute thinking about /why/ it would be 64. There's just something about those powers of 2...

Re:

[identity profile] flashfire.livejournal.com 2004-02-16 05:23 pm (UTC)(link)
I still like the multiplier of 9 rule. No matter what number you take, no matter how large or small, you can multiply it by 9 and the total sum of all those numbers will always equal 9 once you've added them together.

To wit:

Key in a random number: 7,545,154,872,145 x 9 = 67,906,393,849,305. Add each of those numbers up and you get 72, and 7 + 2 = 9.

Of course, this was demonstrated in a simpler manner by just taking things like 5 x 9 = 45, and 4 + 5 = 9. ;-)
wibbble: A manipulated picture of my eye, with a blue swirling background. (Default)

Re:

[personal profile] wibbble 2004-02-16 05:29 pm (UTC)(link)
That same rule works for multiples of three, too, except that it's either three or a multiple of three (ie, six or nine).