To state: The error and correct the error in writing a recursive rule for the sequence
The student work is:
Beginning with the second term in the sequence, each term
The correct recursive rule is
Given information:
The given sequence is
Explanation:
Consider the given sequence,
The given recursive rule is:
Now check if the given recursive rule is correct:
Now find
Now find
It can be seen that the resultant third and fourth terms using the given recursive rule are not equal as given in the sequence. Thus the given recursive rule is wrong.
Now consider the sequence
It can be seen that the third term can be obtained by subtracting the second term from the first term.
Similarly, the fourth term can be obtained by subtracting the third term from the second term.
So, the recursive rule for the sequence
Chapter 7 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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