Question

Complete the table .....Which parts of the arithmetic sequence in the left of the table match up with the linear function on the right?

Answer 1

Let's expand the formula for arithmetic sequence.

`\begin{gathered} a_n=a_1+d(n-1) \\ a_n=a_1+dn-d \\ a_n=dn+(a_1-d) \end{gathered}`

The linear function is:

`f(x)=ax+b_{}`

Matching both equations, we can say:

`\begin{gathered} a_n\gg\gg f(x) \\ d\gg\gg a \\ n\gg\gg x \\ a_1-d\gg\gg b \end{gathered}`