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1+2+3+4+5+6+7+8+9+10 = 55

What is the Fastest way to do that?

 Aug 12, 2015

Best Answer 

 #1
avatar+128657 
+10

The general "formula" for the sum of the first "n" positive integers is given by:

 

n(n + 1) / 2   ...so we have.....for the first 10 integers....

 

(10)(11)/2   = 110/2  = 55

 

 

 

  

 Aug 12, 2015
 #1
avatar+128657 
+10
Best Answer

The general "formula" for the sum of the first "n" positive integers is given by:

 

n(n + 1) / 2   ...so we have.....for the first 10 integers....

 

(10)(11)/2   = 110/2  = 55

 

 

 

  

CPhill Aug 12, 2015
 #2
avatar+26367 
+5

1+2+3+4+5+6+7+8+9+10 = 55  What is the Fastest way to do that?

 

$$\small{\text{$
1+2+3+4+5+6+7+8+9+10 =
\dbinom{n+1}{2} = \dbinom{10+1}{2} = \dbinom{11}{2}
= \dbinom{11}{9}=\dfrac{10\cdot 11}{2} = 5\cdot 11 = 55
$}}$$

 Aug 12, 2015

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