The required eighth term is -53
Sequence 3, 1, -3, -9, -17, ...
What is arithmetic?
In mathematics it deals with numbers of operations according to the statements.
The given sequence = 3, 1, -3, -9, -17.....
Since,
Equation of the general term [tex]a_{n}[/tex] = [tex]a_{n-1} -2(n-1)[/tex]
Now,
6th term = [tex]a_{6-1} - 2(6-1)[/tex]
=[tex]a_5-10[/tex]
=--17-10
= -27
similarly,
7th and 8th term is -39 and -53 respectively.
Thus, the required eighth term is -53.
Learn more about arithmetic here:
brainly.com/question/14753192
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