ind the pattern when every other Fibonacci number is added, starting with the second. F2=1 F2+F4=1+3 F2+F4+F6=1+3+8 F2+F4+F6+F8=1+3+8+21 a. Complete three more rows of this table, including numbers and subscripts. Explain the pattern of the answers in words. Which Fibonacci number do you get in relation to the number you added? c . Use the pattern to predict the sum 1+3+8+21+…..+987= . Your answer should show that you know how to get the answer using the pattern, without having to actually add all the numbers! Hint: which subscript does 987 have? Which subscript will your answer have? How do you know

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.1: Counting
Problem 92E
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Find the pattern when every other Fibonacci number is added, starting with the second. F2=1 F2+F4=1+3 F2+F4+F6=1+3+8 F2+F4+F6+F8=1+3+8+21 a. Complete three more rows of this table, including numbers and subscripts. Explain the pattern of the answers in words. Which Fibonacci number do you get in relation to the number you added? c . Use the pattern to predict the sum 1+3+8+21+…..+987= . Your answer should show that you know how to get the answer using the pattern, without having to actually add all the numbers! Hint: which subscript does 987 have? Which subscript will your answer have? How do you know?
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