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1, 2, -3, -4, 1, 2, -3, -4... The sequence above begins with
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03 Apr 2018, 18:51
03 Apr 2018, 18:51
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Question Stats:
85% (00:50) correct
14% (00:43) wrong based on 68 sessions
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1, 2, -3, -4, 1, 2, -3, -4... The sequence above begins with 1 and repeats in the pattern 1, 2, -3, -4 indefinitely
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.
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.
Re: 1, 2, -3, -4, 1, 2, -3, -4... The sequence above begins with
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05 Apr 2018, 02:50
05 Apr 2018, 02:50
2
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
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
Re: 1, 2, -3, -4, 1, 2, -3, -4... The sequence above begins with
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25 Oct 2018, 04:38
25 Oct 2018, 04:38
Is there anoter solution
