The recursive formula of the sequence is f(n) = 12 + f(n -1), where f(1) = 5
<h3>How to determine the recursive formula?</h3>
The explicit formula of the arithmetic sequence is given as;
f(n) = 5 + 12(n - 1)
Open the bracket
f(n) = 5 + 12n - 12
Evaluate the like terms
f(n)= 12n - 7
Calculate f(1) and f(2)
f(1)= 12(1) - 7= 5
f(2)= 12(2) - 7= 17
The difference between f(1) and f(2) is 12
Hence, the recursive formula of the sequence is f(n) = 12 + f(n -1), where f(1) = 5
Read more about sequence at:
brainly.com/question/7882626
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<u>Complete question</u>
The explicit formula of the arithmetic sequence is f(n)=5+12(n-1)
Determine the recursive formula
