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
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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
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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
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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
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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.

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