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.)
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.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter7: Exponents And Exponential Functions
Section7.10: Recursive Formulas
Problem 3CYU
Question
100%
✅✅✅❌❌❌❌????????

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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