Use inductive reasoning to find the next equation in the pattern.
-8 - 5 + 3 = 2 · 3
13 - 8 + 5 = 2 · 5
21 - 13 + 8 = 2 · 8
A)34 + 21 - 13 = 2 · 21
B)34 - 21 + 8 = 2 · 8
C)34 - 21 - 13 = 0
D)34 - 21 + 13 = 2 · 13

Question

Use inductive reasoning to find the next equation in the pattern.
-8 - 5 + 3 = 2 · 3 
13 - 8 + 5 = 2 · 5
21 - 13 + 8 = 2 · 8
A)34 + 21 - 13 = 2 · 21
B)34 - 21 + 8 = 2 · 8
C)34 - 21 - 13 = 0
D)34 - 21 + 13 = 2 · 13

Quizplus · Accepted Answer

The pattern involves three consecutive Fibonacci numbers where the largest number is subtracted by the second largest, then added to the third largest, equating to twice the middle number. The sequence of Fibonacci numbers in the equations progresses as follows: 8, 5, 3; 13, 8, 5; 21, 13, 8. The next sequence should be 34, 21, 13, making the correct equation 34 - 21 + 13 = 2 · 13.

Use Inductive Reasoning to Find the Next Equation in the Pattern