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Hope this will help you 2(-15)-1=-31

By using the formula [tex]a_n= -n^2 + n+ 5[/tex]. The eighth term of the sequence 5,3,-1,-7,-15... is -51.

What is the number pattern?

A number pattern is a pattern in a series of numbers that represents the common relationship between the numbers.

We will use the formula to identify the sequence

here, [tex]a_n= -n^2 + n+ 5[/tex]

where n is the number of terms

So,

[tex]a_8= -8^2 + 8+ 5\\\\a_8 = -64 + 13\\\\a_8 =-51[/tex]

Thus, The eighth term of the sequence 5,3,-1,-7,-15... is -51.

Learn more about a number pattern:

brainly.com/question/14471389

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