Project 2: Number Patterns, p. 8 6. Find the pattern when every other Fibonacci number is added, starting with the first: F1 1 1. F1 + F3 1+2 F1 + F3+ F5 1+2 + 5 %3D F1 + F3+ Fs + F7 1+2 + 5+ 13 = a. Complete the blanks, above, and then three more rows of the table in the space above, including numbers and subscripts. b. Explain the pattern in words. Caution: it is not enough to say that the result is a Fibonacci number. WHICH Fibonacci number do you get in relation to the numbers you just added? See 2.3, p. 6. dded c. Use the pattern to predict the sum 1 +2 + 5 + 13 + ... + 1597 = Your answer should show that you know how to get the answer using the pattern, without having to actually add up all the numbers! Hint: which subscript does 1597 have? Which subscript will your answer have? How do you know? %3D II I| || II||
Project 2: Number Patterns, p. 8 6. Find the pattern when every other Fibonacci number is added, starting with the first: F1 1 1. F1 + F3 1+2 F1 + F3+ F5 1+2 + 5 %3D F1 + F3+ Fs + F7 1+2 + 5+ 13 = a. Complete the blanks, above, and then three more rows of the table in the space above, including numbers and subscripts. b. Explain the pattern in words. Caution: it is not enough to say that the result is a Fibonacci number. WHICH Fibonacci number do you get in relation to the numbers you just added? See 2.3, p. 6. dded c. Use the pattern to predict the sum 1 +2 + 5 + 13 + ... + 1597 = Your answer should show that you know how to get the answer using the pattern, without having to actually add up all the numbers! Hint: which subscript does 1597 have? Which subscript will your answer have? How do you know? %3D II I| || II||
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.3: Rules For Addition
Problem 7P
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