About Us Contact Us Help


Archives

Contribute

 

For The Mathematically Inclined

Anil Saigal
04/28/2009


PROBLEM # 1
The first three terms of an arithmetic sequence are 2x-3, 5x-11 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 M-043009 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.



Bookmark and Share | Share your Comments

Comments :
Post a new message

In this Issue
In Conversation With Lija Joseph Of Saheli


Lija Joseph is a hematopathologist at Boston University School of Medicine in the Department of Pathology and Laboratory Medicine. She volunteers for Saheli, the support group for South Asian Women.
[more]

In Conversation With Lija Joseph Of Saheli
Rajyogini Dadi Janki To Speak On Immortality


Rajyogini Dadi Janki to Speak on Immortality on Thursday, May 7th from 6:30 to 9:00 pm at Back Bay Events Center in Boston.
[more]

Rajyogini Dadi Janki To Speak On Immortality
Our Voice And Yours


President Abdul Kalam received the Hoover Medal at Columbia University. It is America's most prestigious engineering prize for service to humanity. Former winners of the Hoover Medal have included presidents Carter and Hoover.

Meet our Sponsor - B.D. Nayak Architects
[more]

Our Voice And Yours
Cartoon: King And Elephant


King and Elephant!
[more]

Cartoon: King And Elephant
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]

Book Review: Sukhamayu - Cooking At Home With Ayurvedic Insights

You may also access this article through our web-site http://www.lokvani.com/




Home | About Us | Contact Us | Copyrights Help