My Math Forum What is the average of all the odd natural numbers upto 51?

 Elementary Math Fractions, Percentages, Word Problems, Equations, Inequations, Factorization, Expansion

April 11th, 2018, 11:07 AM   #11
Math Team

Joined: Dec 2013
From: Colombia

Posts: 7,265
Thanks: 2434

Math Focus: Mainly analysis and algebra
Quote:
 Originally Posted by Ganesh Ujwal If n is not 51. Then n is 26. Can you tell me why n is not 51?
\begin{alignat*}{2}
1 &= 1 &= 1^2 \\
1 + 3 &= 4 &= 2^2 \\
1+3+5 &= 9 &= 3^2 \\
& \vdots & \vdots
\end{alignat*}
So the sum of which odd numbers is represented by $51^2$?

Why are you not capable of thinking about what you are doing? I guess you just prefer complaining.

Last edited by skipjack; April 11th, 2018 at 11:37 AM.

April 11th, 2018, 11:07 AM   #12
Senior Member

Joined: Jun 2015
From: England

Posts: 795
Thanks: 233

Quote:
 What is the average of all the odd natural numbers upto 51?
Quote:
 Originally Posted by Ganesh Ujwal If n is not 51. Then n is 26. can you tell me why n is not 51?
What an odd question.

April 11th, 2018, 12:05 PM   #13
Senior Member

Joined: May 2016
From: USA

Posts: 989
Thanks: 406

Quote:
 Originally Posted by Ganesh Ujwal If n is not 51. Then n is 26. Can you tell me why n is not 51?
Do you really think that in counting from 1 to 51 you will run into no even numbers along the way? So if there are fewer than 51, how many are there?

Hint: odd numbers can be represented by 2k - 1 where k is an integer.

April 11th, 2018, 06:53 PM   #14
Senior Member

Joined: Aug 2014
From: India

Posts: 183
Thanks: 1

Quote:
 Originally Posted by JeffM1 Do you really think that in counting from 1 to 51 you will run into no even numbers along the way? So if there are fewer than 51, how many are there? Hint: odd numbers can be represented by 2k - 1 where k is an integer.

 Tags average, natural, numbers, odd, upto

 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post zylo Topology 14 May 10th, 2017 01:57 AM Eureka Number Theory 4 November 3rd, 2012 03:51 AM sam.jj Elementary Math 5 March 2nd, 2012 05:14 AM jinjouk Number Theory 12 June 3rd, 2008 06:11 AM johnny Algebra 4 July 30th, 2007 05:31 AM

 Contact - Home - Forums - Cryptocurrency Forum - Top