For a finite sequence of nonzero integers, the consecutiveness of the

Question

For a finite sequence of nonzero integers, the consecutiveness of the sequences is defined by the number of pairs of consecutive terms of the sequence for which the positive difference between the two consecutive terms is 1. What is the consecutiveness for the sequence {1, 4, 5, 6, -3, -4}?

(A) One
(B) Two
(C) Three
(D) Four
(E) Five

(A) One
(B) Two
(C) Three
(D) Four
(E) Five

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ManifestDreamMBA · Answer

Consecutiveness =  number of pairs of consecutive terms of the sequence  with |difference| = 1

{1,  4, 5 , 6, -3, -4}
{1, 4,  5, 6 , -3, -4}
{1, 4, 5, 6,  -3, -4 }

There are 3 pairs

GMATinsight · Answer

{1,  4, 5 , 6, -3, -4}
{1, 4,  5, 6 , -3, -4}
{1, 4, 5, 6,  -3, -4 }

Three instances

Answer: Option C

Dereno · Answer

Consecutiveness of the sequences is defined by the number of pairs of consecutive terms of the sequence for which the positive difference between the two consecutive terms is 1.

lets look for pairs , which has a positive difference of 1

Sequence : {1, 4, 5, 6, -3, -4}

The pairs are (5,4) (6,5) and (-3,-4). Hence,  3 pairs

Ayeka · Answer

{1, 4, 5, 6, -3, -4}
Look for pairs which have a positive difference of 1. (4,5),(5,6),(-3,-4).
There are 3 such pairs.

Answer: C

rohitz98 · Answer

For the given sequence  {1, 4, 5, 6, -3, -4} 
 the number of pairs having positive difference of 1 are (4,5), (5,6), (-3,-4)
Hence consecutiveness is 3  Option C

EpicKnot · Answer

The question mentions a positive differnece of 1 but -4 and -3 produces a negative difference of 1. Why is it then being considered in solution?

Bunuel · Answer

For a finite sequence of nonzero integers, the consecutiveness of the sequences is defined by the number of pairs of consecutive terms of the sequence for which the positive difference between the two consecutive terms is 1. What is the consecutiveness for the sequence {1, 4, 5, 6, -3, -4}?

(A) One
(B) Two
(C) Three
(D) Four
(E) Five

(A) One
(B) Two
(C) Three
(D) Four
(E) Five

We have:

{1, 4, 5, 6, -3, -4}

The consecutive pairs are:

1 and 4: difference 3

4 and 5: difference 1

5 and 6: difference 1

6 and -3: difference 9

-3 and -4: difference 1

There are 3 pairs for which the positive difference is 1.

Answer: C.

Because “positive difference” means the absolute difference between the two terms, not the signed result of subtracting in one fixed order.

For -3 and -4, the positive difference is |-3 - (-4)| = 1, since the two numbers are 1 unit apart.

So that pair is correctly counted.

For a finite sequence of nonzero integers, the consecutiveness of the

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GMAT Problem Solving (PS) Questions

For a finite sequence of nonzero integers, the consecutiveness of the

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615 to 715 in 15 Days (Ria's Strategies)

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