Carcass wrote:
A farmer constructs a fence along the northern edge of his property, using materials such that he places a post every 7 meters. if he uses 100 posts, how many meters will the fence span?
A. 686
B. 693
C. 700
D. 707
E. 770
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITIONGRE - Math BookLet's look for a pattern...
1 post: fence span = 0 meters
2 posts: fence span = 7 meters
3 posts: fence span = 7 + 7 = 14 meters
4 posts: fence span = 7 + 7 + 7 = 21 meters
5 posts: fence span = 7 + 7 + 7 + 7 = 28 meters
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We can see that, for n posts, we add 7 n-1 times.
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100 posts: fence span = sum of 99 sevens = (99)(7) = 693 meters
Answer: B