Lolaergasheva wrote:

If the sum of the first n positive integers is S, what is the sum of the first n positive even integers, in terms of S ?

(A) S/2

(B) S

(C) 2S

(D) 2S + 2

(E) 4S

I see that most people would solve it by taking some value of n... that's great... One suggestion - don't shy away from taking the lowest and simplest value.

I read 'sum of the first n positive integers', I say 'n = 1'... First 1 positive integer is 1 so S = 1. First 1 positive even integer will be 2 which is equal to twice of S. Only one options works out here so you are done. (In some cases, more than one option could work out e.g. if \(2S^2\) were another option. In that case you might want to check for n = 2 as well)

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Karishma

Veritas Prep GMAT Instructor

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