Answer:
The general term of the sequence is
[tex] { - 1}^{n - 1} [/tex]
Step-by-step explanation:
The sequence above is a geometric sequence
For an nth term in a geometric sequence
[tex]u(n) = a(r) ^{n - 1} [/tex]
Where n is the number of terms
a is the first term
r is the common ratio
From the above sequence
a = 1
r = -1/1 = -1
The nth term of the sequence is
[tex]u(n) = 1 ({ - 1})^{n - 1} \\ = { - 1}^{n - 1} [/tex]
Hope this helps you