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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 is in sign for the sequence: 1, -3, 2, 5, -4, -6? ?
 
  • a)
    5
  • b)
    4
  • c)
    3
  • d)
    2
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
For a finite sequence of nonzero numbers, the number of variations in ...
Sign change is defined as change in signs of products of 2 consecutive numbers
sign change occurs in (1*-3)(negative)
next is 2*5 (positive)
next is 5*-4(negative)
3 changes
so option C
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Community Answer
For a finite sequence of nonzero numbers, the number of variations in ...
Calculation:

Given Sequence:
1, -3, 2, 5, -4, -6

Pair-wise Analysis:
-3 * 2 = -6 (variation in sign)
5 * -4 = -20 (variation in sign)
-4 * -6 = 24 (no variation in sign)

Total Variations:
There are 3 pairs of consecutive terms where the product is negative, so the number of variations in sign for the given sequence is 3.
Therefore, the correct answer is option 'C' (3).
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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 is in sign for the sequence: 1, -3, 2, 5, -4, -6? ?a)5b)4c)3d)2Correct answer is option 'C'. Can you explain this answer?
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