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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

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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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