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
An Invitation To Poets  Harvard Poetry Reading 
The Annual India Poetry Reading event will be held on May 9, 2009 at Harvard University. [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]
 
Oriya Language And Literature 
"Oriya literature encompasses several strains of thought, including Buddhist, Jaina, Sakta, Vaishnava and Vedic," said Dr. Bijoya Misra, as part of the presentation on Oriya Language and Literature on April 11, 2009. [more]
 
Health Corner  Kitchen Herbs: Dill (soya/suwa) 
Dill seed and weed are a very good source of calcium, and a good source of the minerals manganese and iron. Some of the conditions where Dill can be used effectively are... [more]
 
Book Review: Sukhamayu  Cooking At Home With Ayurvedic Insights 
This book has been researched by the authors (Jigyasa & Pratibha) at KARE (Kerala Ayurvedic Research and Rejuvenation Establishment) which is an Ayurvedic establishment at Mulshi, Pune, started by Dr. Prakash Kalmadi with the blessings and guidance of Yogacharya Guruji Shri BKS Iyengar. [more]
 
You may also access this article through our website http://www.lokvani.com/

