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(1+3+5+⋯+3983)/1992

 Mar 9, 2015

Best Answer 

 #2
avatar+130479 
+5

The sum of the first n odd numbers = n^2

And the number of odd terms is given by [1 + n] / 2

So we have

[1 + 3983] / 2 = 1992 terms

So 

1992^2 / 1992 =

1992

 

  

 Mar 9, 2015
 #1
avatar+26397 
+5

(1+3+5+⋯+3983)/1992

 1+3+5++39831992= ?  The arithmetic Series 1+3+5++3983 has a1=1 and an=3983 and d=2  The formula is an=a1+(n1)d or 3983=1+(n1)2  So n=1992  The sum =1+3+5++3983=n(a1+an2)=1992(1+39832)=19921992  1+3+5++39831992=199219921992=1992 

 

 Mar 9, 2015
 #2
avatar+130479 
+5
Best Answer

The sum of the first n odd numbers = n^2

And the number of odd terms is given by [1 + n] / 2

So we have

[1 + 3983] / 2 = 1992 terms

So 

1992^2 / 1992 =

1992

 

  

CPhill Mar 9, 2015

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