+0  
 
0
935
2
avatar

What is the sum of all integer values of n such that 20/(2n - 1) is an integer?

 May 17, 2020
 #1
avatar
-1

n has two values: n =1 and n = 3. So, the sum of n = 1 + 3 = 4

 May 17, 2020
 #2
avatar+20 
+1

If n is an integer the denominator is odd, so the denominator can only be the odd factors of 20 so -5, -1, 1, 5. For each of these, n would be -2, 0, 1, and 3 respectively. The sum of these is 2

 May 17, 2020

1 Online Users