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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## What is 1/2 + 1/6 + 1/12 + 1/20 + 1/30 + 1/42 + 1/56? tagged by: Max@Math Revolution ##### This topic has 2 expert replies and 0 member replies ### GMAT/MBA Expert ## What is 1/2 + 1/6 + 1/12 + 1/20 + 1/30 + 1/42 + 1/56? ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult [GMAT math practice question] What is 1/2 + 1/6 + 1/12 + 1/20 + 1/30 + 1/42 + 1/56? A. 3/5 B. 5/8 C. 7/8 D. 8/9 E. 9/10 _________________ Math Revolution Finish GMAT Quant Section with 10 minutes to spare. The one-and-only Worldâ€™s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. Only$149 for 3 month Online Course
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Max@Math Revolution wrote:
[GMAT math practice question]

What is 1/2 + 1/6 + 1/12 + 1/20 + 1/30 + 1/42 + 1/56?

A. 3/5
B. 5/8
C. 7/8
D. 8/9
E. 9/10
1/2 + 1/6 + 1/12 + 1/20 + 1/30 + 1/42 + 1/56

= 1/2 + (1/2 - 1/3) + (1/3 - 1/4) + (1/4 - 1/5) + (1/5 - 1/6) + (1/6 - 1/7) + (1/7 - 1/8)

= 1/2 + 1/2 - 1/8

= 1 - 1/8

= 7/8

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=>

1/2 + 1/6 + 1/12 + 1/20 + 1/30 + 1/42 + 1/56
= 1/(1*2) + 1/(2*3) + 1/(3*4) + 1/(4*5) + 1/(5*6) + 1/(6*7) + 1/(7*8)
= (1/1 - 1/2) + (1/2 - 1/3) + (1/3 - 1/4) + (1/4 - 1/5) + (1/5 - 1/6) + (1/6 - 1/7) + (1/7 - 1/8)
= 1/1 - 1/8 = 7/8

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