h(n)=-13 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. The explicit formula is h(n) = -13n. To find the first term, substitute n = 1 into the formula. Calculation: h(1) = -13 * 1 = -13Determine common difference: Determine the common difference between consecutive terms. Since the sequence is defined by a linear formula (h(n) = -13n), the common difference is the coefficient of n, which is -13.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. Since we have h(1) = -13 and d = -13, the recursive formula is h(n) = h(n-1) - 13.

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h(n)=-13 n
Complete the recursive formula of
h(n).

{:[h(1)=◻],[h(n)=h(n-1)+]:}

$h(n)=-13 n$ $\newline$ 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

Full solution

h(n)=-13 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. The explicit formula is $h(n) = -13n$ . To find the first term, substitute $n = 1$ into the formula. $\newline$ Calculation: $h(1) = -13 \times 1 = -13$
Determine common difference: Determine the common difference between consecutive terms. Since the sequence is defined by a linear formula $h(n) = -13n$ , the common difference is the coefficient of $n$ , which is $-13$ .
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. $\newline$ Since we have $h(1) = -13$ and $d = -13$ , the recursive formula is $h(n) = h(n-1) - 13$ .