Answered

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

Sagot :

Answer:

The sequence is not an arithmetic sequence.

Explanation:

Given the sequence:

[tex]77,44,16,-12,\ldots[/tex]

Calculate the difference between the terms below:

[tex]\begin{gathered} 44-77=-33 \\ 16-44=-28 \\ -12-16=-28 \end{gathered}[/tex]

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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