h(n)=-10+12 n Complete the recursive formula of h(n). {:[h(1)=],[h(n)=h(n-1)+]:}

Identify first term: Identify the first term of the sequence using the given explicit formula h(n) = -10 + 12n. To find h(1), substitute n = 1 into the formula. Calculation: h(1) = -10 + 12(1) = -10 + 12 = 2.Determine common difference: Determine the common difference of the sequence by calculating the difference between the terms h(2) and h(1). First, find h(2) by substituting n = 2 into the explicit formula. Calculation: h(2) = -10 + 12(2) = -10 + 24 = 14.Calculate common difference: Now, calculate the common difference by subtracting h(1) from h(2). Calculation: Common difference (d) = h(2) - h(1) = 14 - 2 = 12.Write recursive formula: Write the recursive formula using the first term and the common difference. The recursive formula has the form h(n) = h(n-1) + d, where d is the common difference. Calculation: Since h(1) = 2 and d = 12, the recursive formula is h(n) = h(n-1) + 12.

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h(n)=-10+12 n
Complete the recursive formula of
h(n).

{:[h(1)=],[h(n)=h(n-1)+]:}

$h(n)=-10+12 n$ $\newline$ Complete the recursive formula of $h(n)$ . $\newline$ $\begin{array}{l} h(1)=\square \\ h(n)=h(n-1)+ \end{array}$

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Algebra 2

Write a formula for an arithmetic sequence

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h(n)=-10+12 n

\newline

Complete the recursive formula of

h(n)

\newline

\begin{array}{l} h(1)=\square \\ h(n)=h(n-1)+ \end{array}

Identify first term: Identify the first term of the sequence using the given explicit formula $h(n) = -10 + 12n$ . To find $h(1)$ , substitute $n = 1$ into the formula. $\newline$ Calculation: $h(1) = -10 + 12(1) = -10 + 12 = 2$ .
Determine common difference: Determine the common difference of the sequence by calculating the difference between the terms $h(2)$ and $h(1)$ . First, find $h(2)$ by substituting $n = 2$ into the explicit formula. $\newline$ Calculation: $h(2) = -10 + 12(2) = -10 + 24 = 14$ .
Calculate common difference: Now, calculate the common difference by subtracting $h(1)$ from $h(2)$ . $\newline$ Calculation: Common difference $(d) = h(2) - h(1) = 14 - 2 = 12$ .
Write recursive formula: Write the recursive formula using the first term and the common difference. The recursive formula has the form $h(n) = h(n-1) + d$ , where $d$ is the common difference. $\newline$ Calculation: Since $h(1) = 2$ and $d = 12$ , the recursive formula is $h(n) = h(n-1) + 12$ .