{:[{[g(1)=10],[g(n)=g(n-1)-7.5]:}],[g(3)=◻]:}

Given initial condition and recursive formula: We are given the initial condition and the recursive formula for the sequence g(n): g(1) = 10 g(n) = g(n - 1) - 7.5 To find g(3), we first need to find g(2) using the recursive formula.Calculating g(2) using recursive formula: Using the recursive formula, we calculate g(2): g(2) = g(1) - 7.5 g(2) = 10 - 7.5 g(2) = 2.5 Now we have the value of g(2).Finding g(3) using g(2): With the value of g(2), we can now calculate g(3): g(3) = g(2) - 7.5 g(3) = 2.5 - 7.5 g(3) = -5 We have found the value of g(3).

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{:[{[g(1)=10],[g(n)=g(n-1)-7.5]:}],[g(3)=◻]:}

$\begin{array}{l}\left\{\begin{array}{l}g(1)=10 \\ g(n)=g(n-1)-7.5\end{array}\right. \\ g(3)=\square\end{array}$

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Algebra 1

Evaluate recursive formulas for sequences

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\begin{array}{l}\left\{\begin{array}{l}g(1)=10 \\ g(n)=g(n-1)-7.5\end{array}\right. \\ g(3)=\square\end{array}

Given initial condition and recursive formula: We are given the initial condition and the recursive formula for the sequence $g(n)$ : $g(1) = 10$ $g(n) = g(n - 1) - 7.5$ To find $g(3)$ , we first need to find $g(2)$ using the recursive formula.
Calculating $g(2)$ using recursive formula: Using the recursive formula, we calculate $g(2)$ :
$g(2) = g(1) - 7.5$
$g(2) = 10 - 7.5$
$g(2) = 2.5$
Now we have the value of $g(2)$ .
Finding $g(3)$ using $g(2)$ : With the value of $g(2)$ , we can now calculate $g(3)$ :
$g(3) = g(2) - 7.5$
$g(3) = 2.5 - 7.5$
$g(3) = -5$
We have found the value of $g(3)$ .