Concept explainers
To describe and correct the error in writing the recursive rule for the sequence
Answer to Problem 46E
Error is sequence is arithmetic that is recursive rule given is wrong
Correct recursive rule for given sequence is
Explanation of Solution
Given information:
The sequence
Concept used:
Recursive equation for an arithmetic sequence is
Recursive equation for a geometric sequence is
Recursive equation for Fibonacci sequence is
Given recursive rule
Given sequence
Common difference given between all consecutive terms is taken 2
But,
Clearly difference does not remain same
So, the given sequence is not arithmetic
Hence,
Error is sequence is arithmetic that is recursive rule given is wrong
Also,
Therefore, given sequence is special type of sequence (Fibonacci sequence)
Correct recursive rule for given sequence is
Chapter 6 Solutions
BIG IDEAS MATH Integrated Math 1: Student Edition 2016
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