Question

Calculate the average rate of change for the graphed sequence from n = 2 to n = 4. O -6.625O -3.3125O -3.0O -2.0

Answer 1

Given:

`(2,-3.5)\text{ , (3,}-6.75)\text{ and (4,-}10.125)`
`\begin{gathered} \text{Difference of (n=2 and 3) =}3.5-6.75 \\ \text{Difference of (n=2 and 3) =}-3.25 \end{gathered}`
`\begin{gathered} \text{Difference of (n=3 and 4) =}6.75-10.125 \\ \text{Difference of (n=3 and 4) =}-3.375 \end{gathered}`
`\begin{gathered} \text{Average rate of change=}(-3.25-3.375)/(2) \\ \text{Average rate of change=}(-6.625)/(2) \\ \text{Average rate of change=-}3.3125 \end{gathered}`

2nd option is the final answer.