{[f(1)=15],[f(n)=f(n-1)*n]:} f(2)=

Problem Prompt: The question prompt asks us to find the value of f(2) given the recursive function f(n) = f(n-1) * n with the initial condition f(1) = 15.Initial Condition: We know that f(1) = 15. To find f(2), we use the recursive formula f(n) = f(n-1) * n with n = 2.Recursive Formula: Substitute n = 2 into the recursive formula to get f(2) = f(2-1) * 2.Substitute n = 2: Calculate f(2) using the known value of f(1): f(2) = f(1) * 2 = 15 * 2.Calculate f(2): Perform the multiplication to find f(2): f(2) = 30.

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$\begin{array}{l}\left\{\begin{array}{l}f(1)=15 \\ f(n)=f(n-1) \cdot n\end{array}\right. \\ f(2)=\square\end{array}$

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Algebra 1

Evaluate recursive formulas for sequences

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\begin{array}{l}\left\{\begin{array}{l}f(1)=15 \\ f(n)=f(n-1) \cdot n\end{array}\right. \\ f(2)=\square\end{array}

Problem Prompt: The question prompt asks us to find the value of $f(2)$ given the recursive function $f(n) = f(n-1) \cdot n$ with the initial condition $f(1) = 15$ .
Initial Condition: We know that $f(1) = 15$ . To find $f(2)$ , we use the recursive formula $f(n) = f(n-1) \cdot n$ with $n = 2$ .
Recursive Formula: Substitute $n = 2$ into the recursive formula to get $f(2) = f(2-1) \times 2$ .
Substitute $n = 2$ : Calculate $f(2)$ using the known value of $f(1)$ : $f(2) = f(1) \times 2 = 15 \times 2$ .
Calculate $f(2)$ : Perform the multiplication to find $f(2)$ : $f(2) = 30$ .