asked 189k views
3 votes
Is 375, 225, 75, -75 a sequence arithmetic

asked
User Nurjan
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8.3k points

1 Answer

2 votes

In order to have an arithmetic sequence, the difference between two consecutive numbers must be the same for the whole sequence.

So let's check if this is true for the given sequence:


\begin{gathered} 225-375=-150 \\ 75-225=-150 \\ -75-75=-150 \end{gathered}

The difference is always equal to -150, therefore the sequence is an arithmetic sequence, with a common difference of d = -150.

answered
User Hyuck Kang
by
8.1k points

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