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Answer please the picture scanner deal won’t scan over this and i don’t know how to type it out

Answer please the picture scanner deal won’t scan over this and i don’t know how to-example-1

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Solution

We are given the arithmetic sequence


\begin{gathered} a_1=5 \\ a_n=a_(n-1)-4 \end{gathered}

To find an explicit formula


\begin{gathered} First\text{ }Term=5 \\ a=5 \end{gathered}

From the second recursive formula


\begin{gathered} a_n-a_(n-1)=-4 \\ Common\text{ }Difference=-4 \\ d=-4 \end{gathered}

The nth term of an Arithmetic sequence is given by


\begin{gathered} a_n=a+(n-1)d \\ a_n=5+(n-1)(-4) \end{gathered}

Therefore, the answer is


a_(n)=5+(n-1)(-4)

Answer please the picture scanner deal won’t scan over this and i don’t know how to-example-1
User Janos Vinceller
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