Archives
Contribute

For The Mathematically Inclined


Anil Saigal 04/28/2009
PROBLEM # 1 The first three terms of an arithmetic sequence are 2x3, 5x11 and 3x+1, respectively. The nth term of the sequence is 2009. What is n?
PROBLEM #2 Let a + a x + a x^2 + a x^3 + .... and a + a y + a y^2 + a y^3 + .... be two different infinite geometric series of positive numbers with the same first term. The sum of the first series is x, and the sum of the second series is y. What is x+y?
 Please send your solutions to anil@lokvani.com.
Use Problem Solutions M043009 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.
 Problem Solutions 04/16/09
PROBLEM # 1 Any given length of highway is equally likely to have as many potholes as any other length of equal size. The average number of potholes per mile of highway is 3. What is the probability that 2 miles of highway have 3 or fewer potholes? Solution: P(0)+P(1)+P(2)+P(3) using Poisson's Distribution and mean of 6.
PROBLEM #2 Three people (A, B, and C) need to cross a bridge. A can cross the bridge in 10 minutes, B can cross in 5 minutes, and C can cross in 2 minutes. There is also a bicycle available and any person can cross the bridge in 1 minute with the bicycle. What is the shortest time that all men can get across the bridge? Each man travels at his own constant rate Solution: 5 minutes. Congratulations to Suhas Joglekar and Muneeba Syed, who were the winner of the last set of puzzles.

Share your Comments
In this Issue
Massachusetts Asian American Commission Unity Dinner 
Come and be part of the unveiling of The Asian American Business Owners Needs Assessment Report and The 2009 Massachussetts Asian American Commission Unity Dinner on May 14. [more]
 
More than 1000 people attended the Vaisakhi Mela featuring Surindar Shinda, Sukhwinder Panchi, Ranjit Teji and Ishmeet Narula. The event waa sponsored by a number of local businesses and local media. [more]
 
The Annual Hindu Heritage Day will be held on Sunday, May 17, 2009, from 3 pm to 8 pm at Marlboro Middle School in Marlboro, MA. [more]
 
South Asian Art: Indian Folk Arts And Crafts  Part 11 
Indian Folk Arts and Crafts – Part II
Here are some unusual crafts and materials that make Indian folk art so unique. [more]
 
Akshaya Patra Launches Gifts For Moms, Smiles For Children 
The Akshaya Patra Foundation, the world's largest NGOrun midday meal program, has launched Gifts For Moms, Smiles For Children, a Mother's Day Campaign that pays tribute to Mothers worldwide. [more]
 
You may also access this article through our website http://www.lokvani.com/

