Question

Determine if the following sequence is Arithmetic if so what is the common difference 77 44 16 -12

Answer 1

The sequence is not an arithmetic sequence.

Step-by-step explanation:

Given the sequence:

`77,44,16,-12,\ldots`

Calculate the difference between the terms below:

`\begin{gathered} 44-77=-33 \\ 16-44=-28 \\ -12-16=-28 \end{gathered}`

Observe that the differences between the terms are not the same all through.

Thus, there is no common difference which implies that the sequence is not an arithmetic sequence.