hi there
in GRE Revised ETS book
example said
the sequence of numbers a1,a2,a3 ,,,,,,, An
is defined by a = 1/n - 1/n+2 for each integer then we have to find the total of adding the first 20 sequence of this
ok
i know that answer is number B
my question is
in explaination they said we dont have to add all the 20 sequences , instead its show to add first 2 terms
like that (1/1-1/3) + (1/3-1/4) = (1/1+1/2)-(1/3+1/4)
i need to know how this equal , i didnt understand why we substitute the signs , and became opposite signs ,
thanks for help my GRE angels