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Write a recursive sequence that represents the sequence defined by the following explicit formula: an= 8 - 5(n - 1)

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The explicit formula of the arithmetic sequence is:


a_n=a_1+(n-1)d

Given the formula


a_n=8-5(n-1)

then,

a1 = 8

d = -5

The recursive formula of the arithmetic sequence is:


\begin{cases}a_1 \\ a_n=a_(n-1)+d\end{cases}

In this case:


\begin{cases}a_1=8 \\ a_n=a_(n-1)-5\end{cases}

User Duwalanise
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