SOLUTION: Find the sum of all the positive integers less than 100 that are multiples of 3.

Algebra ->  Sequences-and-series -> SOLUTION: Find the sum of all the positive integers less than 100 that are multiples of 3.      Log On


   

Question 983968: Find the sum of all the positive integers less than 100 that are multiples of 3.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find the sum of all the positive integers less than 100 that are multiples of 3.
-----------
3 to 99 inclusive = 33 integers.
0 to 99 = 34 integers (easier calculations)
Make 17 pairs:
0 + 99 = 99
3 + 96 = 99
etc.
Sum = 17*99 = 1683