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# In a sequence of 10 increasing consecutive integers, the sum

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Senior Manager
Joined: 22 Sep 2005
Posts: 280
Followers: 1

Kudos [?]: 39 [0], given: 1

In a sequence of 10 increasing consecutive integers, the sum [#permalink]  14 Nov 2006, 12:31
00:00

Difficulty:

(N/A)

Question Stats:

50% (02:23) correct 50% (01:29) wrong based on 18 sessions
In a sequence of 10 increasing consecutive integers, the sum of the last 5 integers is 230. What is the sum of the first 5 integers in the sequence?

A) 225

B) 220

C) 215

D) 210

E) 205
Manager
Joined: 29 Aug 2006
Posts: 158
Followers: 1

Kudos [?]: 1 [0], given: 0

E from me.
let the int be x, x+1, x+2....x+9.

x+5+x+6+x+7+x+8+x+9=230
5x+35=230
x=39

sum of first 5=205
Manager
Joined: 10 Jul 2006
Posts: 75
Followers: 1

Kudos [?]: 2 [0], given: 0

Let the first 5 number in this sequence be n, n+1, n+2, n+3, n+4. Sum = 5n +10.

Let the last 5 numbers in the sequence be n+5, n+6, n+7, n+8, n+9. Sum= 5n+35.

Since 5n+35 = 230 and we need to find 5n+10. subtract 25 from 230, we have 205 => E
GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5097
Location: Singapore
Followers: 17

Kudos [?]: 136 [0], given: 0

First integer, x
Second integer, X+1
third interger, x+2 and so on...

Sum of last five integers is:
x+5 + x+6 + x+7 + x+8 + x+9 = 5x + 35 = 230 --> x = 39

so sum of first five integers is:
x + x+1 + x+2 + x+3 + x+4 = 5x + 10 = 205

ans E
Manager
Joined: 03 Jul 2005
Posts: 195
Location: City
Followers: 1

Kudos [?]: 2 [0], given: 0

Divide 230 by 5 = 46, this is the eighth term, then count back to find the first five and then add.

A:39
B:40
C:41
D:42
E:43
F:44
G:45
H:46
I:47
J:48

If you use formulas it might be quicker, but it's just another way.
Intern
Joined: 10 Jun 2009
Posts: 31
Location: Stockholm, Sweden
Followers: 0

Kudos [?]: 1 [0], given: 0

Re: PS: Sequence [#permalink]  16 Jun 2009, 03:11
The quickest way is first to divide 230 by 5 (to get the mean of the 5 largest numbers) and then subtract 5 from that number and multiply by 5.

Re: PS: Sequence   [#permalink] 16 Jun 2009, 03:11
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