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Can you do 1 + 3 + 5 + 7 + ... + 99 in your head And how?

 Dec 19, 2015

Best Answer 

 #2
avatar+118609 
+10

Guest
12 mins ago     

Can you do 1 + 3 + 5 + 7 + ... + 99 in your head And how

 

There is a formula to solve this.

SUM= n/2(a+L)

a is the first number =1

L is the last number =99

n is the number of numbers = 50

So

Sum=25×100=2500

 Dec 19, 2015
 #1
avatar+128475 
+5

Sorry....I initially misread the question.....

 

There will be 25 pairs of numbers that will sum to 100, thusly.....

 

[99 + 1], [ 97 + 3], [ 95 + 5], etc.

 

So.....the sum is just 2500

 

 

 

 

coolcool cool

 Dec 19, 2015
edited by CPhill  Dec 19, 2015
edited by CPhill  Dec 19, 2015
 #2
avatar+118609 
+10
Best Answer

Guest
12 mins ago     

Can you do 1 + 3 + 5 + 7 + ... + 99 in your head And how

 

There is a formula to solve this.

SUM= n/2(a+L)

a is the first number =1

L is the last number =99

n is the number of numbers = 50

So

Sum=25×100=2500

Melody Dec 19, 2015
 #3
avatar
+5

1+99=100

3+97=100

5+95=100

7+93=100...

 Dec 19, 2015
 #4
avatar+118609 
0

Thanks guest,

I like your method better than my one. 

 Dec 19, 2015

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