Saturday, November 14, 2020

Cuts, Slices and Pascal's Triangle... by Rory Andes

Last Friday, we had a problem on the board in the Havens/Edmonds Math Lecture Series we attended (really, it's a math playground full of inspiring thoughts of shared discoveries... I've never been in a learning environment like it. It's brilliant!) Anyway, the sequence stood as such...

1, 2, 4, 8, 16, 31, ___,... What's the next number in the sequence?

As we further discussed how to solve this little sequence this week, we had briefly seen how to visually use Pascal's Triangle, but the solution (which I won't give here) isn't intuitive to find IF you're not familiar with the triangle's breakdown. One discussed idea was to take a circle and put points around the perimeter of it then count all the slices inside to develop the answer. There are cuts in a pie, then there are slices of a pie. Knowing how to define each helps. Anyway, it was a moment of cool realization...

We walked in this week and a series of letters were written...
a, b, ba, bab, babba, babbabab, babbababbabba,...
What's the next set of letters?....Cool, see ya next week!

by Rory Andes

I'm not the best at math, but I love the learning environment...

Email at using Rory Andes 367649

Or by Mail:
Rory Andes 367649
PO Box 888
Monroe, WA 98272

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