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

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section: Chapter Questions

Problem 16T

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