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
Number Properties
This topic has expert replies
-
- Legendary Member
- Posts: 869
- Joined: Wed Aug 26, 2009 3:49 pm
- Location: California
- Thanked: 13 times
- Followed by:3 members
-
- Newbie | Next Rank: 10 Posts
- Posts: 5
- Joined: Tue Nov 03, 2009 6:54 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
-
- Master | Next Rank: 500 Posts
- Posts: 392
- Joined: Thu Jan 15, 2009 12:52 pm
- Location: New Jersey
- Thanked: 76 times
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
5050+100+1+100+2+100+3....100+100
=5050+100(100)+5050=20100
E