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 144. Following the pattern, write the next equation. The next equation in the list is written as=0 (Do not evaluate. Use integers for any numbers in the expression.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 9T
Question
100%
✅✅✅❌❌❌❌????????
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 144.
Following the pattern, write the next equation.
The next equation in the list is written as=0
(Do not evaluate. Use integers for any numbers in the expression.)
Transcribed Image Text: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 144. Following the pattern, write the next equation. The next equation in the list is written as=0 (Do not evaluate. Use integers for any numbers in the expression.)
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