Q.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?
This question says,consecutive terms.Means they should be in a sequence. If I put the above numbers in a sequence then it would be -6,-4,-3,1,2,5.Now,question says, number of variations r defined as number of pairs of consecutive terms.In terms of pairs of positive and negative,I have only one pair: -3,1.So answer should be 1 pair, but corect answer is 3 pairs, which could be right in a sense if we don't use consecutive sequence.Please guide me,why the answer is 3.
This question says,consecutive terms.Means they should be in a sequence. If I put the above numbers in a sequence then it would be -6,-4,-3,1,2,5.Now,question says, number of variations r defined as number of pairs of consecutive terms.In terms of pairs of positive and negative,I have only one pair: -3,1.So answer should be 1 pair, but corect answer is 3 pairs, which could be right in a sense if we don't use consecutive sequence.Please guide me,why the answer is 3.
