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What is the sum of the terms in a sequence of consecutive multiples of 3?

(1) There is an odd number of terms in the sequence.
(2) The average of the sequence is zero.
  • a)
    Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked
  • b)
    Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked
  • c)
    BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient
  • d)
    EACH statement ALONE is sufficient to answer the question asked
  • e)
    Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
What is the sum of the terms in a sequence of consecutive multiples of...
(1) There is an odd number of terms in the sequence.
Statement (1) tells us that the number of terms in the sequence is odd. This means the sequence has an odd number of terms, such as 1, 2, 3 or 1, 2, 3, 4, 5. In such a sequence, the sum of the terms is simply the product of the average term and the number of terms. However, without any specific information about the sequence or the range of terms, we cannot determine the sum of the terms based solely on statement (1). Therefore, statement (1) alone is not sufficient.
(2) The average of the sequence is zero.
Statement (2) tells us that the average of the sequence is zero. This implies that the sum of the terms in the sequence is also zero since the average is calculated by dividing the sum by the number of terms. However, this statement does not provide any information about the number of terms or the specific values in the sequence. Therefore, statement (2) alone is not sufficient.
Based on the analysis of both statements, statement (2) alone tells us that the sum of the terms is zero, but statement (1) does not provide any specific information about the sum. Therefore, statement (2) alone is sufficient to answer the question, while statement (1) alone is not sufficient.
Hence, the correct answer is option B: Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
Community Answer
What is the sum of the terms in a sequence of consecutive multiples of...
(1) There is an odd number of terms in the sequence.
Statement (1) tells us that the number of terms in the sequence is odd. This means the sequence has an odd number of terms, such as 1, 2, 3 or 1, 2, 3, 4, 5. In such a sequence, the sum of the terms is simply the product of the average term and the number of terms. However, without any specific information about the sequence or the range of terms, we cannot determine the sum of the terms based solely on statement (1). Therefore, statement (1) alone is not sufficient.
(2) The average of the sequence is zero.
Statement (2) tells us that the average of the sequence is zero. This implies that the sum of the terms in the sequence is also zero since the average is calculated by dividing the sum by the number of terms. However, this statement does not provide any information about the number of terms or the specific values in the sequence. Therefore, statement (2) alone is not sufficient.
Based on the analysis of both statements, statement (2) alone tells us that the sum of the terms is zero, but statement (1) does not provide any specific information about the sum. Therefore, statement (2) alone is sufficient to answer the question, while statement (1) alone is not sufficient.
Hence, the correct answer is option B: Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
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What is the sum of the terms in a sequence of consecutive multiples of 3?(1) There is an odd number of terms in the sequence.(2) The average of the sequence is zero.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'B'. Can you explain this answer?
Question Description
What is the sum of the terms in a sequence of consecutive multiples of 3?(1) There is an odd number of terms in the sequence.(2) The average of the sequence is zero.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'B'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about What is the sum of the terms in a sequence of consecutive multiples of 3?(1) There is an odd number of terms in the sequence.(2) The average of the sequence is zero.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the sum of the terms in a sequence of consecutive multiples of 3?(1) There is an odd number of terms in the sequence.(2) The average of the sequence is zero.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'B'. Can you explain this answer?.
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