GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 18 Oct 2019, 06:39

### 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

# For each integer n > 1, if S(n) denote the sum of even integer upto

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58453
For each integer n > 1, if S(n) denote the sum of even integer upto  [#permalink]

### Show Tags

26 Aug 2018, 06:17
00:00

Difficulty:

45% (medium)

Question Stats:

65% (01:53) correct 35% (02:12) wrong based on 105 sessions

### HideShow timer Statistics

For each integer $$n>1$$, if S(n) denote the sum of even integer upto $$n$$ (not inclusive of $$n$$). For example, $$S(10)= 2+4+6+8=20$$. What is value of $$S(300)$$?

(A) $$22050$$

(B) $$22350$$

(C) $$22650$$

(D) $$45150$$

(E) $$90300$$

_________________
Imperial College Moderator
Joined: 16 May 2017
Posts: 98
Location: India
GMAT 1: 710 Q47 V39
WE: General Management (Retail Banking)
For each integer n > 1, if S(n) denote the sum of even integer upto  [#permalink]

### Show Tags

26 Aug 2018, 06:26
1
Bunuel wrote:
For each integer $$n>1$$, if S(n) denote the sum of even integer upto $$n$$ (not inclusive of $$n$$). For example, $$S(10)= 2+4+6+8=20$$. What is value of $$S(300)$$?

(A) $$22050$$

(B) $$22350$$

(C) $$22650$$

(D) $$45150$$

(E) $$90300$$

Using the formula Sum of first n even integer = n(n+1)
Here n=300/2=150
So sum is 150*151=22650
So S(300)=22650-300=22350
_________________
"The harder you work the luckier you get"
VP
Status: Learning stage
Joined: 01 Oct 2017
Posts: 1013
WE: Supply Chain Management (Energy and Utilities)
Re: For each integer n > 1, if S(n) denote the sum of even integer upto  [#permalink]

### Show Tags

26 Aug 2018, 11:30
Bunuel wrote:
For each integer $$n>1$$, if S(n) denote the sum of even integer upto $$n$$ (not inclusive of $$n$$). For example, $$S(10)= 2+4+6+8=20$$. What is value of $$S(300)$$?

(A) $$22050$$

(B) $$22350$$

(C) $$22650$$

(D) $$45150$$

(E) $$90300$$

To find:- 2+4+6+---+298
No of terms of the series=$$\frac{298-2}{2}+1$$=148+1=149

Sum of n terms of an AP when 1st and last term is known:
$$\frac{n}{2}*(1st_term+Last_term)=\frac{149}{2}*(2+298)=\frac{149}{2}*300=149*150=22350$$

Ans. (B)
_________________
Regards,

PKN

Rise above the storm, you will find the sunshine
Intern
Joined: 02 Sep 2015
Posts: 41
Re: For each integer n > 1, if S(n) denote the sum of even integer upto  [#permalink]

### Show Tags

26 Aug 2018, 12:22
PKN , what do you mean by AP ?
Imperial College Moderator
Joined: 16 May 2017
Posts: 98
Location: India
GMAT 1: 710 Q47 V39
WE: General Management (Retail Banking)
Re: For each integer n > 1, if S(n) denote the sum of even integer upto  [#permalink]

### Show Tags

26 Aug 2018, 12:46
magbot wrote:
PKN , what do you mean by AP ?

2+(2+2)+(4+2)+(6+2)+..... and so on
So you can see that the sequence is in Arithmetic Progression, which means every term is at distance of d=2 from its previous term.
_________________
"The harder you work the luckier you get"
VP
Status: Learning stage
Joined: 01 Oct 2017
Posts: 1013
WE: Supply Chain Management (Energy and Utilities)
Re: For each integer n > 1, if S(n) denote the sum of even integer upto  [#permalink]

### Show Tags

26 Aug 2018, 20:01
magbot wrote:
PKN , what do you mean by AP ?

Hi magbot,

The acronym AP stands for Arithmetic Progression.

More about AP, https://gmatclub.com/forum/math-sequenc ... 01891.html
Note:- Above link is a part of GMAT club Math book.

Posted from my mobile device
_________________
Regards,

PKN

Rise above the storm, you will find the sunshine
Non-Human User
Joined: 09 Sep 2013
Posts: 13257
Re: For each integer n > 1, if S(n) denote the sum of even integer upto  [#permalink]

### Show Tags

03 Sep 2019, 07:32
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Re: For each integer n > 1, if S(n) denote the sum of even integer upto   [#permalink] 03 Sep 2019, 07:32
Display posts from previous: Sort by