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## Variation

tagged by: Brent@GMATPrepNow

This topic has 1 expert reply and 4 member replies
k_suraj786 Newbie | Next Rank: 10 Posts
Joined
22 Apr 2006
Posted:
8 messages

#### Variation

Sat Apr 22, 2006 9:23 am
For a finite sequence of non zero numbers, the number of variations in sign is defined as the number of pairs of consecutive terms of the sequence for which the product of the two consecutive terms is negative. What is the number of variations in sign for the sequence 1, -3, 2, 5, -4, -6 ?

1. One
2. Two
3. Three
4. Four
5. Five

This is getting really sick....?

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SKK

### GMAT/MBA Expert

Brent@GMATPrepNow GMAT Instructor
Joined
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Posted:
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Sun Sep 24, 2017 5:16 am
k_suraj786 wrote:
For a finite sequence of non zero numbers, the number of variations in sign is defined as the number of pairs of consecutive terms of the sequence for which the product of the two consecutive terms is negative. What is the number of variations in sign for the sequence 1, -3, 2, 5, -4, -6 ?

1. One
2. Two
3. Three
4. Four
5. Five
We're asked to look at every pair of CONSECUTIVE numbers. If the product of that pair is NEGATIVE, this counts as one variation.

Let's examine the pairs of consecutive numbers:

1 and -3: product is negative
-3 and 2: product is negative
2 and 5: product is positive
5 and -4: product is negative
-4 and -6: product is positive

Since 3 pairs have negative products, the correct answer is C

Cheers,
Brent

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### Top Member

Roland2rule Legendary Member
Joined
30 Aug 2017
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Sat Sep 23, 2017 10:06 pm
from the question, we have this (1, -3, 2, 5, -4, -6).
since we are concern with the variation in sign change, we will have the sequence in this form
1,-3 (+ve to -ve)
-3,2 (-ve to +ve)
-5,4 (-ve t +ve)

therefore, we have three variation.
hence,
option C is right

chix475ntu Junior | Next Rank: 30 Posts
Joined
17 Apr 2006
Posted:
12 messages
2
Sat Apr 22, 2006 9:29 am
3 ( 1 * -3 , -3 * 2, 5 * -4)

C

k_suraj786 Newbie | Next Rank: 10 Posts
Joined
22 Apr 2006
Posted:
8 messages
Sun Apr 23, 2006 8:02 am
Hey chix475ntu,

Thanks...!!!

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SKK

abby_g Junior | Next Rank: 30 Posts
Joined
30 Sep 2006
Posted:
24 messages
1
Sat Sep 30, 2006 2:36 am
1,-3
-3,2
-5,4

hence C

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