QQuestionMathematics
QuestionMathematics
"Use function notation to write a recursive formula to represent the sequence: 3, 6, 9, …
A. f(2$)=f(2$)+ 3
B. f(2$)=f(2$)+ 2
C. f(2$)=f(2$)⋅3
D. f(2$)=f(2$)⋅2"
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Answer
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Step 1: Identify the pattern in the sequence
The given sequence is 3, 6, 9, ... This is a simple arithmetic sequence with a common difference of 3 between consecutive terms.
Step 2: Relate the pattern to the recursive formula
In a recursive formula, each term is typically defined as a function of the previous term(s). In this case, since the common difference is 3, we can say that the n-th term (f(n)) is 3 more than the (n- 1)-th term (f(n- 1)).
Final Answer
The recursive formula to represent the sequence 3, 6, 9, ... is f(2$) = f(2$) + 3.
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