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Answer :
Final answer:
The given sequence increases by 9 from -42 for each term. Thus, the recursive formula would be option b) f(n) = f(n-1) + 9.
Explanation:
The sequence provided is -42, -33, -24, -15, and so on. In order to determine the recursive formula in function notation for this sequence, we need to observe how the sequence changes from one term to the next.
Here, each term increases by 9 starting from -42. So, the difference between any two sequential elements of the sequence is always +9.
Therefore, the recursive relation for the sequence would be f(n) = f(n-1) + 9.
This formula essentially says that to get to the nth term from the (n-1)th term, we need to add 9 to the (n-1)th term.
Hence the correct answer would be b) f(n) = f(n-1) + 9.
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Rewritten by : Barada
Answer:
The correct recursive formula in function notation for the given sequence -42, -33, -24, -15, ... is:
a) f(n) = f(n-1) - 9
