Compute in simpliest form:
(1−13)+(13−15)+(15−17)+(17−19)+⋯+(117−119)
Note that we can write this in a slightly different manner
1 + (-1/3 + 1/3) + (-1/5 + 1/5) + (-1/7 + 1/7) +......+ (-1/17 + 1/17) - 1/19 =
1 - 1/19 =
18 /19
