It is currently 17 Oct 2017, 19:47

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# Sum of Consecutive Even Number

 post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
Intern
Joined: 22 Dec 2005
Posts: 8

Kudos [?]: [0], given: 0

Sum of Consecutive Even Number [#permalink]

### Show Tags

22 Dec 2005, 18:10
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Hi,

This sounds like an easy question but I just want to know if there's a quicker way to solve this:

The sum of 50 even number is 2,550. What is the sum of the even integers from 102-200 inclusive.

Kudos [?]: [0], given: 0

SVP
Joined: 05 Apr 2005
Posts: 1708

Kudos [?]: 94 [0], given: 0

Re: Sum of Consecutive Even Number [#permalink]

### Show Tags

22 Dec 2005, 18:57
twinkle9600 wrote:
The sum of 50 even number is 2,550. What is the sum of the even integers from 102-200 inclusive.

your first statement should be "the sum of first 50 positive even integers is 2550.

n = (200/2)-(102/2)+1=50
sum = n (F+L)/(2)=50(200+102)/2=7550

Kudos [?]: 94 [0], given: 0

Senior Manager
Joined: 15 Apr 2005
Posts: 414

Kudos [?]: 17 [0], given: 0

Location: India, Chennai
Re: Sum of Consecutive Even Number [#permalink]

### Show Tags

23 Dec 2005, 00:49
twinkle9600 wrote:
Hi,

This sounds like an easy question but I just want to know if there's a quicker way to solve this:

The sum of 50 even number is 2,550. What is the sum of the even integers from 102-200 inclusive.

The series 102,104,...200 forms an AP.
sn = n/2(a+l) where n is the number of terms in the series, a is the first term, and l is the last term.

Number of terms = 50
a = 102
l = 200
sn = 50/2(102+200) = 7550

Last edited by krisrini on 29 Dec 2005, 01:35, edited 1 time in total.

Kudos [?]: 17 [0], given: 0

VP
Joined: 06 Jun 2004
Posts: 1051

Kudos [?]: 181 [0], given: 0

Location: CA
Re: Sum of Consecutive Even Number [#permalink]

### Show Tags

23 Dec 2005, 01:05
HIMALAYA wrote:
twinkle9600 wrote:
The sum of 50 even number is 2,550. What is the sum of the even integers from 102-200 inclusive.

your first statement should be "the sum of first 50 positive even integers is 2550.

n = (200/2)-(102/2)+1=50
sum = n (F+L)/(2)=50(200+102)/2=7550

Agree with HIMALAYA's work.
_________________

Don't be afraid to take a flying leap of faith.. If you risk nothing, than you gain nothing...

Kudos [?]: 181 [0], given: 0

Intern
Joined: 22 Dec 2005
Posts: 8

Kudos [?]: [0], given: 0

### Show Tags

28 Dec 2005, 21:12
I get it now. Thanks for your help

Kudos [?]: [0], given: 0

Senior Manager
Joined: 15 Apr 2005
Posts: 414

Kudos [?]: 17 [0], given: 0

Location: India, Chennai
Re: Sum of Consecutive Even Number [#permalink]

### Show Tags

29 Dec 2005, 01:35
HIMALAYA wrote:
krisrini wrote:
sn = 50/2(102+300) = 7550

200 or 300?

Thanks himalaya that was a typo. I shall edit my post.

Kudos [?]: 17 [0], given: 0

VP
Joined: 20 Sep 2005
Posts: 1016

Kudos [?]: 38 [0], given: 0

### Show Tags

09 Jan 2006, 14:17
The first sentence does not seem useful.

Kudos [?]: 38 [0], given: 0

09 Jan 2006, 14:17
Display posts from previous: Sort by

# Sum of Consecutive Even Number

 post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.