302 HW 3 - 50 = 34 + 13 + 3 so you take 3. #21. There are...

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M302 HOMEWORK #3 Dr. Schurle Assignment: page 57, #1, 6, 7, 8, 17, 18, 19, 21, 30, 36 Grade the following for 2 points each, then give all or part of the remaining two points depending on how much work they've done on the other problems. #8. There should be a table something like this: n (F n+1 ) 2 – (F n-1 ) 2 2 (2) 2 – (1) 2 = 3 = F 4 3 (3) 2 – (1) 2 = 8 = F 6 4 (5) 2 – (2) 2 = 21 = F and then the formula should be (F n+1 ) 2 – (F n-1 ) 2 = F 2n . #18. Write 50 as a sum of nonconsecutive Fibonacci numbers:
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Unformatted text preview: 50 = 34 + 13 + 3 so you take 3. #21. There are now 9 sticks, and 9 = 8 + 1, so you take 1 stick. #30. The first 15 terms are 0, 0, 1, 1, 2, 4, 7, 13, 24, 44, 81, 149, 274, 504, 927 and the quotients are 1, 2, 2, 1.75, 1.85714, 1.846154, 1.833333, 1.840909, 1.839506, 1.838926, 1.839416, 1.839286 which do seem to be approaching a fixed number, about 1.839. .. ....
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This note was uploaded on 03/19/2008 for the course M 302 taught by Professor Irwin during the Spring '08 term at University of Texas at Austin.

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