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Pls explain approach

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Pls explain approach [#permalink] New post 18 May 2011, 20:52
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40% (01:40) correct 60% (00:00) wrong based on 6 sessions
If sum of first n positive integers is S, what is the sum of first n positive even integers of in terms of S?

(a) S/2
(b)S
c.2S
d.2S+2
e.4S
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Re: Pls explain approach [#permalink] New post 19 May 2011, 04:34
Answer = 2S

why i chose the answer: reasons given below

lets say n = 10
1+2+3+4+5+6+7+8+9+10 = 55 = S
2+4+6+8+10+12+14+16+18+20 = 110 = 2S

lets say n=11
1+2+3+4+5+6+7+8+9+10+11=66 = S
2+4+6+8+10+12+14+16+18+20+22 = 132 = 2S


Guys...suggest me if there is any shortcut than this to me....i want to solve these in much shorter time
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Re: Pls explain approach [#permalink] New post 19 May 2011, 12:29
let n= 5
1+2+3+4+5=15(s).
we are asked sum of n even numbers, we need 5 even numbers which are:
2+4+6+8+10=30. answer is 2(s)=2(15)=30
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Re: Pls explain approach [#permalink] New post 24 May 2011, 07:40
Ehhh shouldnt this be @ the math section?
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Re: Pls explain approach [#permalink] New post 30 May 2011, 01:34
yeah in the math section, but agree with 2S!
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Re: Pls explain approach [#permalink] New post 01 Jun 2011, 21:38
moved to math section.
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Re: Pls explain approach [#permalink] New post 13 Jun 2011, 00:28
6+5+4+3+2+1 = 21

12+10+...+2 = 42

2s it is.
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Re: Pls explain approach   [#permalink] 13 Jun 2011, 00:28
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