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22 May 2020, 01:26
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
40% (02:37) correct
60%
(02:34)
wrong
based on 103
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An arithmetic sequence is a sequence in which each term after the first is equal to the sum of the preceding term and a constant, which is also known as the common difference of that arithmetic sequence. An increasing arithmetic sequence N consists of a set of distinct negative integers and an increasing arithmetic sequence P consists of a set of distinct positive integers. The sequence C contains all the terms of arithmetic sequences N and P such that the number of terms in sequence C is equal to the number of terms in arithmetic sequences N and P. Is sequence C an arithmetic sequence?
(1) The sum of the largest term of the sequence N and the smallest term of the sequence P is zero.
(2) For every integer in sequence N, there exists an integer in sequence P with the same magnitude.
Are You Up For the Challenge: 700 Level Questions
22 May 2020, 04:11
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An increasing arithmetic sequence N = -ve integers only.
An increasing arithmetic sequence P = +ve integers only.
The sequence C contains all the terms of arithmetic sequences N and P.
Q. Is sequence C an arithmetic sequence?
(1) The sum of the largest term of the sequence N and the smallest term of the sequence P is zero.
- If N = {-5,-3,-1} and P={1,3,5} then sequence C is an arithmetic sequence
-If N = {-7,-5,-3} and P={3,5,7} then sequence C is NOT an arithmetic sequence. Sequence C lacks of elements {-1, 1} to be qualified as arithmetic sequence.
NOT SUFFICIENT
(2) For every integer in sequence N, there exists an integer in sequence P with the same magnitude.
- If N = {-5,-3,-1} and P={1,3,5} then sequence C is an arithmetic sequence
-If N = {-7,-5,-3} and P={3,5,7} then sequence C is NOT an arithmetic sequence. Sequence C lacks of elements {-1, 1} to be qualified as arithmetic sequence.
NOT SUFFICIENT
Combined (1) and (2)
- If N = {-5,-3,-1} and P={1,3,5} then sequence C is an arithmetic sequence
-If N = {-7,-5,-3} and P={3,5,7} then sequence C is NOT an arithmetic sequence. Sequence C lacks of elements {-1, 1} to be qualified as arithmetic sequence.
NOT SUFFICIENT
FINAL ANSWER IS (E)
Posted from my mobile device
An increasing arithmetic sequence P = +ve integers only.
The sequence C contains all the terms of arithmetic sequences N and P.
Q. Is sequence C an arithmetic sequence?
(1) The sum of the largest term of the sequence N and the smallest term of the sequence P is zero.
- If N = {-5,-3,-1} and P={1,3,5} then sequence C is an arithmetic sequence
-If N = {-7,-5,-3} and P={3,5,7} then sequence C is NOT an arithmetic sequence. Sequence C lacks of elements {-1, 1} to be qualified as arithmetic sequence.
NOT SUFFICIENT
(2) For every integer in sequence N, there exists an integer in sequence P with the same magnitude.
- If N = {-5,-3,-1} and P={1,3,5} then sequence C is an arithmetic sequence
-If N = {-7,-5,-3} and P={3,5,7} then sequence C is NOT an arithmetic sequence. Sequence C lacks of elements {-1, 1} to be qualified as arithmetic sequence.
NOT SUFFICIENT
Combined (1) and (2)
- If N = {-5,-3,-1} and P={1,3,5} then sequence C is an arithmetic sequence
-If N = {-7,-5,-3} and P={3,5,7} then sequence C is NOT an arithmetic sequence. Sequence C lacks of elements {-1, 1} to be qualified as arithmetic sequence.
NOT SUFFICIENT
FINAL ANSWER IS (E)
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22 May 2020, 04:43
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Quote:
C=AP?
(1) insufic
tnN+aP=0
-1+1=0; [-3,-1,1,2,3]≠AP
-1+1=0; [-2,-1,1,2,3]=AP
(2) insufic
[-3,-1,1,2,3]≠AP
[-3,-1,1,3]=AP
(1/2) insufic
[-3,-1,1,2,3]≠AP
[-3,-1,1,3]=AP
Ans (E)
