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

 May 17, 2020
 #1
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n has two values: n =1 and n = 3. So, the sum of n = 1 + 3 = 4

 May 17, 2020
 #2
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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

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