Answer: 3,676 peaches in the pyramid 50 peaches high! This took me about 10 minutes to figure out!!

First, I drew a pyramid with a three or four rows of peaches until I observed a pattern. I noticed that if you multiply the number of peaches that comprise the height by the number of peaches along one of the sides of the equilateral triangle (and these, of course are the same number) and then, beginning with the second row of peaches, add 0,1,3,6,10,15,21,28, etc...... derived from a progression of always adding the next number larger number to the previous number....for example, 1 + 2 = 3, 3 + 3 = 6, 6 + 4 =10,10 + 5 =15,15 + 6 = 21,21 + 7 = 28, etc. You will eventually discover that at the 50th row of peaches you are adding 1176 to 50 x 50, which is 3,676. I actually disappointed myself because I could never actually write the exact formula to figure this out, so I had to do quite a bit of addition manually. I know I didn't articulate my steps accurately, but I hope you understand and now I must go grade English papers!!!! I am such a procrastinator!!

## Comments (1)

## Nathan Wisdom said

at 9:58 pm on Dec 6, 2009

Take a look at this presentation http://shswisdom.pbworks.com/Khigh-Stephens

How does it compare to yours?

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