by rcoker7 » Tue Mar 26, 2013 9:00 pm
Usually, in the right triangle problems like that, you have to assume the sides are of the form y, x, x+1. It turns out that x+(x+1)=y^2 in this case, so the sum when y=23 is 23+529=552.
For the fibbonacci sequence, you don't need to go all the way to the 12th element. If the first element is a and the second is b, then the sums of the first 8,9,10, 11, and 12 are given by
first 8: 11(5th term)-a
first 9: 11(6th term)+a-b
first 10: 11(7th term)
first 11: 11(8th term)+a
first 12: 11(9th term)+a+b
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