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# For a finite sequence of nonzero numbers, the number of

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Director
Joined: 10 Feb 2006
Posts: 665
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Kudos [?]: 114 [0], given: 0

For a finite sequence of nonzero numbers, the number of [#permalink]  17 May 2007, 06:05
For a finite sequence of nonzero 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 ?

One
Two
Three
Four
Five
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GMAT the final frontie!!!.

Manager
Joined: 02 May 2007
Posts: 152
Followers: 1

Kudos [?]: 5 [0], given: 0

For a finite sequence of nonzero 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 ?

One
Two
Three
Four
Five

Three variations

(1,-3), (-3,2) and (5,-4)
Senior Manager
Joined: 03 May 2007
Posts: 272
Followers: 1

Kudos [?]: 7 [0], given: 0

kirakira wrote:
For a finite sequence of nonzero 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 ?

One
Two
Three
Four
Five

Three variations

(1,-3), (-3,2) and (5,-4)

can you explain how you did it?
Manager
Joined: 30 Mar 2007
Posts: 220
Followers: 1

Kudos [?]: 3 [0], given: 0

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

1,-3,2,5,-4,-6

(1,-3), (-3,2) and (5,-4)

will give the product as -iv.

so no. of variations is 3.
Director
Joined: 10 Feb 2006
Posts: 665
Followers: 3

Kudos [?]: 114 [0], given: 0

"number of pairs of consecutive terms of the sequence for which the product of the two consecutive terms is negative "

I don't see two consecutive terms, care to explain further please. Thanks
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GMAT the final frontie!!!.

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