Respuesta :
The next term in this arithmetic sequence will be -11/4. The given sequence follows the arithmetic progression rule.
What is a sequence, exactly?
It is described as a systematic method of describing data that follows a certain arithmetic rule.
The given sequence is;
7/2, 9/4, 1, -1/4, -3/2
The common difference is found as;
[tex]\rm \frac{9}{4} -\frac{7}{2} =\frac{-5}{4}[/tex]
The next term in this arithmetic sequence is found as;
[tex]\rm x- (\frac{-5}{4} )=\frac{-3}{2} \\\\ x=\frac{-3}{2} +\frac{-5}{4} \\\\ x=\frac{-11}{4}[/tex]
Hence,the next term in this arithmetic sequence will be -11/4.
To learn more about the sequence, here:
brainly.com/question/21961097
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