To describe and correct the error in writing an explicit rule for the recursive rule
Answer to Problem 45E
The error is the common difference taken it should be
Correct explicit rule is
Explanation of Solution
Given information:
Given statements
Concept used:
Recursive equation for an arithmetic sequence is
Recursive equation for a geometric sequence is
Equation of explicit rule for arithmetic sequence is given by
Equation of explicit rule for geometric sequence is given by
Given recursive rule
Compare with basic recursive equation for an arithmetic sequence
Common difference
But in given statements difference taken is 12
So, the error in given statements is difference taken.
Find explicit rule using
Correct explicit rule is
Chapter 6 Solutions
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