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# 1, 2, -3, -4, 1, 2, -3, -4... The sequence above begins with

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Director
Joined: 07 Jan 2018
Posts: 604
Followers: 7

Kudos [?]: 546 [1] , given: 88

1, 2, -3, -4, 1, 2, -3, -4... The sequence above begins with [#permalink]  03 Apr 2018, 18:51
1
KUDOS
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Question Stats:

81% (00:52) correct 18% (00:34) wrong based on 22 sessions
1, 2, -3, -4, 1, 2, -3, -4... The sequence above begins with 1 and repeats in the pattern 1, 2, -3, -4 indefinitely

 Quantity A Quantity B The sum of the 49th and 51st terms The sum of the 50th and 52nd terms

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA
Director
Joined: 07 Jan 2018
Posts: 604
Followers: 7

Kudos [?]: 546 [0], given: 88

Re: 1, 2, -3, -4, 1, 2, -3, -4... The sequence above begins with [#permalink]  05 Apr 2018, 02:50
The pattern repeats in a finite order. The $$1st, 5th, 9th$$ term and so on are $$1$$
Similarly, $$2nd, 6th, 10th$$ term and so on are $$2$$
$$-3$$ and $$-4$$ also repeat in a difference of 4 numbers.

Since all the numbers repeat in a difference of $$4$$ we can find the position of given term by finding the remainder when divided by $$4$$

For qty A
when $$49$$ is divided by $$4$$ remainder is $$1$$ so the $$49th$$ term has value of $$1$$ from the $$1st$$ number in the sequence
similarly when $$51st$$ term is divided by $$4$$ the remainder is $$3$$ so the the $$51st$$ term has the value $$-3$$ which is the third number in the sequence
sum of $$-3$$ and $$1 = -2$$

For qty B
when $$50$$ is divided by $$4$$ remainder is $$2$$ so the $$50$$th term has value of $$2$$ from the 2nd number in the sequence
when $$52$$ is divided by$$4$$ remainder is $$0$$ so the $$52$$nd term has value of $$-4$$ from the 4th number in the sequence
$$2 + -4 = -2$$
option C
_________________

This is my response to the question and may be incorrect. Feel free to rectify any mistakes

Manager
Joined: 23 Oct 2018
Posts: 57
Followers: 0

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

Re: 1, 2, -3, -4, 1, 2, -3, -4... The sequence above begins with [#permalink]  25 Oct 2018, 04:38
Is there anoter solution
Re: 1, 2, -3, -4, 1, 2, -3, -4... The sequence above begins with   [#permalink] 25 Oct 2018, 04:38
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