Find the sum of all positive integers less than that are divisible by .
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
The numbers form an arithmetic progression with first term of 1 1 and common difference of 1 1 . To find for the number of terms we divide 5 0 0 0 0 by 1 1 and it is approximately 4 5 4 5 . 4 5 4 5 4 5 , so the number number of terms is 4 5 4 5 . To get the last term we multiply 4 5 4 5 by 1 1 and that is 4 9 9 9 5 . So the sum of the progression is
s = 2 n ( a 1 + a n ) = 2 4 5 4 5 ( 1 1 + 4 9 9 5 ) = 1 1 3 6 3 8 6 3 5