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

1 Answer

5 votes

Answer:

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.

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