Question

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

Answer 1

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)`