The formula for the general term of sequence {1, 0, -1, 0, 1, 0, -1, 0,...} is given by
[tex]a_{n} = cos\frac{(n-1)\pi }{2}[/tex].
According to the given question.
We have a sequence {1, 0, -1, 0, 1, 0, ...}
Since, we have to find the formula for the general term of the given sequence.
Here, the first term is 1.
Second term is 0.
And the third term is -1.
From the given sequence we can say that all the even term is 0 and other terms are followed by 1 and -1.
Therefore, the formula for the general term of sequence {1, 0, -1, 0, 1, 0, -1, 0,...} is given by
[tex]a_{n} = cos\frac{(n-1)\pi }{2}[/tex].
Find out more information about formula for the general term of the sequence here:
https://brainly.com/question/22210056
#SPJ4