Question 6
Consider the sequence $$
1,-2,3,-4,5,-6,\ldots,
$$ whose $n$th term is $(-1)^{n+1}n.$ What is the average of the first $200$ terms of the sequence?
1,-2,3,-4,5,-6,\ldots,
$$ whose $n$th term is $(-1)^{n+1}n.$ What is the average of the first $200$ terms of the sequence?