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The sum of the first 50 positive even integers is 2,550.

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Director
Joined: 09 Aug 2006
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The sum of the first 50 positive even integers is 2,550. [#permalink]  26 Jun 2007, 02:20
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The sum of the first 50 positive even integers is 2,550. What is the sum of even integers from 102 to 200 inclusive?

A. 5,100
B. 7,550
C. 10,100
D. 15,500
E. 20,100

pls. explain.
Senior Manager
Joined: 04 Jun 2007
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Re: PS: Sum of even integers [#permalink]  26 Jun 2007, 02:57
GK_Gmat wrote:
The sum of the first 50 positive even integers is 2,550. What is the sum of even integers from 102 to 200 inclusive?

A. 5,100
B. 7,550
C. 10,100
D. 15,500
E. 20,100

pls. explain.

102 + 104 + ... + 200
= (2 + 4 + ... + 50) + (100 + 100 + ... 50 times)
= 2550 + 50*100
= 2550 + 5000
= 7550

B
Director
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The sum of the first 50 positive even integers is 2,550. What is the sum of even integers from 102 to 200 inclusive?

number of terms = (200 -102)/2 + 1
Number of Terms between 102 & 200 = 50

Average (mean) = (200 + 102)/2 = 151

Sum = No. of terms * Average

Sum = 50 * 151 = 7,550

B.
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Re: PS: Sum of even integers [#permalink]  26 May 2008, 18:13
i wanted to bring this back up to the top , as i got this one wrong on my prep test.

Can anyone break this down and explain the concept and formulae involved ?
Re: PS: Sum of even integers   [#permalink] 26 May 2008, 18:13
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