{[g(1)=0],[g(n)=g(n-1)+n]:} g(2)=

Recursive function definition: The given recursive function is defined as follows: \[ g(1) = 0 \] \[ g(n) = g(n-1) + n \] We need to find the value of $ g(2) $. Since we know $ g(1) $, we can use it to find $ g(2) $ by substituting $ n = 2 $ into the recursive formula.Finding g(2): Using the recursive formula: \[ g(2) = g(2-1) + 2 \] \[ g(2) = g(1) + 2 \] We know that $ g(1) = 0 $, so we substitute that value in: \[ g(2) = 0 + 2 \] \[ g(2) = 2 \]

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$\begin{array}{l}\left\{\begin{array}{l}g(1)=0 \\ g(n)=g(n-1)+n\end{array}\right. \\ g(2)=\square\end{array}$

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Algebra 1

Evaluate recursive formulas for sequences

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\begin{array}{l}\left\{\begin{array}{l}g(1)=0 \\ g(n)=g(n-1)+n\end{array}\right. \\ g(2)=\square\end{array}

Recursive function definition: The given recursive function is defined as follows: $\newline$ $g(1) = 0$ $\newline$ $g(n) = g(n-1) + n$ $\newline$ We need to find the value of $g(2)$ . $\newline$ Since we know $g(1)$ , we can use it to find $g(2)$ by substituting $n = 2$ into the recursive formula.
Finding g( $2$ ): Using the recursive formula: $\newline$ $g(2) = g(2-1) + 2$ $\newline$ $g(2) = g(1) + 2$ $\newline$ We know that $g(1) = 0$ , so we substitute that value in: $\newline$ $g(2) = 0 + 2$ $\newline$ $g(2) = 2$