It is currently 19 Oct 2017, 11:23

### 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

# question

Author Message
Joined: 31 Dec 1969

Kudos [?]: [0], given:

Location: Russian Federation
GMAT 3: 740 Q40 V50
GMAT 4: 700 Q48 V38
GMAT 5: 710 Q45 V41
GMAT 6: 680 Q47 V36
GMAT 9: 740 Q49 V42
GMAT 11: 500 Q47 V33
GMAT 14: 760 Q49 V44
WE: Supply Chain Management (Energy and Utilities)

### Show Tags

05 Jun 2004, 13:11
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

please explain how to do this. thanks

F(n)=1/n â€“ 1/(n+1) what is the sum of the first 100 integers?

Kudos [?]: [0], given:

Director
Joined: 25 Jan 2004
Posts: 721

Kudos [?]: 31 [0], given: 0

Location: Milwaukee

### Show Tags

05 Jun 2004, 20:55
f(1) + F(2) = 1- 1/2 + 1/2 -1/3
= 1 - 1/3
= 2/3

similarly
f(1) + F(2) + F (3)

= 1- 1/3 + 1/3 -1/4
= 1 - 1/4
= 3/ 4

so sum up to = n/(n+1)

there fore sum upto 100

= 100/101
_________________

Praveen

Kudos [?]: 31 [0], given: 0

VP
Joined: 25 Nov 2004
Posts: 1481

Kudos [?]: 126 [0], given: 0

### Show Tags

08 May 2005, 23:14
praveen_rao7 wrote:
= 100/101

i think praveen did a good job.

sum of the first 100 integers = f1+f2+f3+f4+f5+.........+f100
= 1/1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6.........+1/100-1/101.
=1/1-1/101=(101-1)/101=100/101

Kudos [?]: 126 [0], given: 0

08 May 2005, 23:14
Display posts from previous: Sort by