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 ?

The no. of variations in sign is 3

Step-by-step explanation:

Variation in sign occurs when every single time a negative product is produced by a pair of consecutive terms.

Therefore, the determination of the number of changes in sign in the given sequence is must.

Therefore, we take the product of the pair of consecutive terms as:

= - 3, variation in sign

= - 6,  variation in sign

= 10,  no sign variation

= - 20,  variation in sign

= 24, no sign variation

A = 1.25w²

width: 14 ft; length 17.5 ft

Step-by-step explanation:

A) The length is 1.25 times the width. The width is represented by w, so the length (L) is ...

 L = 1.25w

The area (A) is the product of length and width, so is ...

 A = Lw = (1.25w)(w)

 A = 1.25w²

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B) The width of the section can be found by using the given area and solving for w:

 245 = 1.25w²

 196 = w² . . . . . . . . divide by 1.25

 14 = w . . . . . . . . . . take the square root

 L = 1.25·14 = 17.5 . . . . find the length

The dimensions of the section are 14 feet wide by 17.5 feet long.

HOPE THIS HELPS U OUT AND IF IT DID PLS MARK ME AS BRAINIEST

~ALEX