## Wednesday, December 15, 2010

### Braintenance - Unusual Mathematical Properties...

Take the darn thing out of storage and use it! There's a picture below, so you'll recognize it --

Legal Notice: The colors in the above diagram are for the purposes of clarification and emphasis only. Brains, generally speaking, are hardly this colorful. They are mostly a very plain oatmeal gray color, and have a "jello-like" consistency. I hope that this news does not disappoint you.

Braintenance - Unusual Mathematical Properties...

Dear Cognitive Colleagues (and Eddie, from Bayside, Queens):

Some numbers have unusual and unique properties. Following is a list of questions for you to answer. Some of these are substantially more challenging than otheres -- but then again, the challenging ones make the easy ones seem even easier. This is just a quick practical observation about subjective measurement (i.e., we can only appreciate the size or difficulty of one thing by comparing it with the size or difficulty of another -- the comparison gives us a frame of reference).

If you can answer all of these questions, I'll try to get scholar and author Yossi Feigenson to buy you a cup of coffee...although I cannot guarantee this:

A)  What number, multiplied by itself or added to itself will yield the same answer in either case?

B)  What number, when divided into any other number will equal infinity?

C)  What number, when multiplied by any second number will always equal that second number?

D)  What three numbers, when either added together or multiplied by each other will yield the same answer?

E)  If infinity is divided into infinity, what will the correct answer be?

F)  What is the next number in this sequence?  2, 3, 5, 8, 13, 21, ___.

G)  What is the next number in this sequence?  2, 4, 8, 16, 32, 64, ___.

H)  What is the next number in this sequence?  3, 6, 10, 15, 21, 28 ____.

I)  What is the next number in this sequence?  2, 6, 12, 20, 30, 42, ____.

J)  What is the next number in this sequence?  1, 10, 101, 1010, 10101, _____.

K) What is the next number in this sequence?  2345, 3452, _____.

L) What is the next number in this sequence?  8765, 7654, ____ .

Enjoy these, and come back again for the correct answers.

See you soon,

Douglas Castle

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