{:[{[h(1)=-5],[h(n)=h(n-1)+1.8]:}],[h(3)=◻]:}

Question Prompt: The question prompt is: ＂What is the value of h(3)?＂Given Initial Condition: We are given the initial condition h(1) = -5 and the recursive formula h(n) = h(n-1) + 1.8. To find h(3), we first need to find h(2) using the recursive formula.Finding h(2): Using the recursive formula h(n) = h(n-1) + 1.8, we substitute n with 2 to find h(2): h(2) = h(2-1) + 1.8 h(2) = h(1) + 1.8 h(2) = -5 + 1.8 h(2) = -3.2Finding h(3): Now that we have h(2), we can use it to find h(3) using the same recursive formula: h(3) = h(3-1) + 1.8 h(3) = h(2) + 1.8 h(3) = -3.2 + 1.8 h(3) = -1.4

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

{:[{[h(1)=-5],[h(n)=h(n-1)+1.8]:}],[h(3)=◻]:}

$\begin{array}{l}\left\{\begin{array}{l}h(1)=-5 \\ h(n)=h(n-1)+1.8\end{array}\right. \\ h(3)=\square\end{array}$

View step-by-step help

Home

Math Problems

Algebra 1

Evaluate recursive formulas for sequences

Full solution

\begin{array}{l}\left\{\begin{array}{l}h(1)=-5 \\ h(n)=h(n-1)+1.8\end{array}\right. \\ h(3)=\square\end{array}

Question Prompt: The question prompt is: ＂What is the value of $h(3)$ ?＂
Given Initial Condition: We are given the initial condition $h(1) = -5$ and the recursive formula $h(n) = h(n-1) + 1.8$ . To find $h(3)$ , we first need to find $h(2)$ using the recursive formula.
Finding $h(2)$ : Using the recursive formula $h(n) = h(n-1) + 1.8$ , we substitute $n$ with $2$ to find $h(2)$ :
$h(2) = h(2-1) + 1.8$
$h(2) = h(1) + 1.8$
$h(2) = -5 + 1.8$
$h(2) = -3.2$
Finding $h(3)$ : Now that we have $h(2)$ , we can use it to find $h(3)$ using the same recursive formula: $\newline$ $h(3) = h(3-1) + 1.8$ $\newline$ $h(3) = h(2) + 1.8$ $\newline$ $h(3) = -3.2 + 1.8$ $\newline$ $h(3) = -1.4$