Look for a pattern #10

LP #10

Hints and answers

1990 - 1980 + 1970 - 1960 + ..... - 20 + 10 = ?


To get started with this one, try simplifying the problem by taking a little at a time, starting from the end of the sum:

30 - 20 + 10 =10 + 10 = 20
50 - 40 + 30 - 20 + 10 = 10 + 10 + 10 = 30
70 - 60 + 50 - 40 + 30 - 20 + 10 = ... = 40
and so forth.

How do you get from here to the long sum in the problem?

As always, be sure to explain the work you did to arrive at your answers!