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Number Properties

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by heshamelaziry » Fri Jan 08, 2010 9:25 am
The sum of the first 100 positive integers is 5,050. What is the sum of the first 200 positive integers?

(A) 10,100
(B) 10,200
(C) 15,050
(D) 20,050
(E) 20,100
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by mahendra700 » Fri Jan 08, 2010 9:38 am
heshamelaziry wrote:The sum of the first 100 positive integers is 5,050. What is the sum of the first 200 positive integers?

(A) 10,100
(B) 10,200
(C) 15,050
(D) 20,050
(E) 20,100

The formula for sum of first 200 positive integers is n(n+1)/2

==> 200*201/2= 20,100

Hence E is the answer
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by truplayer256 » Fri Jan 08, 2010 12:58 pm
Notice that the sum of the first 200 positive integers is...

5050+100+1+100+2+100+3....100+100

=5050+100(100)+5050=20100

E
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