The following pattern is established involving terms of the Fibonacci sequence. Use inductive reasoning to make a conjecture concerning the next equation in the pattern, and verify it. You may wish to refer to the first few terms of the sequence given in the text. 1=1 1+2=3 1+2+5=8 1+2+5+13=21 1+2+5+13+34 = 55 Each equation skips the next Fibonacci number to add the one after. Each side of the next equation will equal Following the pattern, write the next equation. n
The following pattern is established involving terms of the Fibonacci sequence. Use inductive reasoning to make a conjecture concerning the next equation in the pattern, and verify it. You may wish to refer to the first few terms of the sequence given in the text. 1=1 1+2=3 1+2+5=8 1+2+5+13=21 1+2+5+13+34 = 55 Each equation skips the next Fibonacci number to add the one after. Each side of the next equation will equal Following the pattern, write the next equation. n
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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