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For The Mathematically Inclined

Anil Saigal

Problem 1:

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

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?


Please send your solutions anil@lokvani.com. 

Use Problem Solutions M-120116 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. 


Problems from 11/17/16

Problem 1
From the top of a 200 meters high building, the angle of depression to the bottom of a second building is 20 degrees. From the same point, the angle of elevation to the top of the second building is 10 degrees. What is the height of the second building?


Problem 2
If the shadow of a building increases by 10 meters when the angle of elevation of the sun rays decreases from 70 to 60 degrees, what is the height of the building?


Congratulations to Ramachandran Balakrishna, who was the winner of the last set of puzzles.

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