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For The Mathematically Inclined

Anil Saigal
12/15/2016

Problem 1:

Which point is the reflection of the point (–7, 5) over the line y = –x?


Problem 2:
What is the the third vertex of a triangle, if two vertices are (-3,1), (0,-2) and the centroid is at origin?


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Please send your solutions anil@lokvani.com. 

Use Problem Solutions M-121516 as the subject line. Please include your full name in the text of the main message. Everyone with the right answer will be acknowledged in the next issue of Lokvani. 

Please do not post your solution in Post Comments. No credit will be given for solutions not sent to anil@lokvani.com. 

If you need clarification on any problem, please contact anil@lokvani.com. 

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Problems from 12/01/16

Problem 1
What is the tenth term of the geometric sequence if the first term is 5 and the common ratio is 2?

Solution: 

Problem 2
At the 1998 Winter X-Games held in Crested Butte, Colorado, Jennie Waara, from Sweden, won the women’s snowboarding slope-style competition. Suppose that in one of the qualifying races, Ms. Waara traveled 5 feet in the first second, and the distance she traveled increased by 7 feet each subsequent second. If Ms. Waara reached the finish line in 15 seconds, how far did she travel?

Solution: 


Congratulations to Ramachandran Balakrishna, Kishore Balsara and Avanish Gowrishankar, who were the winners of the last set of puzzles.



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