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Consecutive Integers | OG 12

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by [email protected] » Sun Sep 16, 2012 2:21 pm
For any positive integer n, the sum of the first n positive integers equals n(n+1)/ 2. What is the sum of all the even integers between 99 and 301 ?

(A) 10,100
(B) 20,200
(C) 22,650
(D) 40,200
(E) 45,150

Please do not give the OG Explanation. I am having difficulty understanding it. If someone can share the explanation based on Manhattan Strategy guide, I would appreciate that.
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by GMATGuruNY » Sun Sep 16, 2012 3:22 pm
[email protected] wrote:For any positive integer n, the sum of the first n positive integers equals n(n+1)/ 2. What is the sum of all the even integers between 99 and 301 ?

(A) 10,100
(B) 20,200
(C) 22,650
(D) 40,200
(E) 45,150

Please do not give the OG Explanation. I am having difficulty understanding it. If someone can share the explanation based on Manhattan Strategy guide, I would appreciate that.
I posted a solution here:

https://www.beatthegmat.com/for-any-posi ... tml#361604
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.

As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.

For more information, please email me (Mitch Hunt) at [email protected].
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