An increasing sequence consists of 4 negative integers and 6 positive integers. Is the sum of the sequence positive?(1) The difference between any two consecutive negative integers is 5 and the difference between any two consecutive positive integers is 2(2) The first term of the sequence is -16a)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 to answer the question asked.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 specific to the problem are needed.Correct answer is option 'C'. Can you explain this answer?

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An increasing sequence consists of 4 negative integers and 6 positive integers. Is the sum of the sequence positive?

(1) The difference between any two consecutive negative integers is 5 and the difference between any two consecutive positive integers is 2

(2) The first term of the sequence is -16

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 to answer the question asked.
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 specific to the problem are needed.

Correct answer is option 'C'. Can you explain this answer?

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An increasing sequence consists of 4 negative integers and 6 positive ...

Steps 1 & 2: Understand Question and Draw Inferences

Let the sequence be where

To Find: Is

Step 3: Analyze Statement 1 independently

(1) The difference between any two consecutive negative integers is 5 and the difference between any two consecutive positive integers is 2

Need to know the value of a₁and a₅ to know if the sum of the sequence is greater than 0.

Insufficient to answer.

Step 4: Analyze Statement 2 independently

(2) The first term of the sequence is -16

a₁=−16

We do not know the difference between consecutive terms

Hence,

Statement 2 alone is not sufficient

Step 5: Analyze Both Statements Together (if needed)

From Statement 1 we got

From Statement 2 we got

a1 = -16

Combining both we get:

Now, if we notice carefully a₅ is a positive integer,

a5 ≥ 1

Therefore

6a₅≥6

Hence

6a₅−4 is always greater than zero.

Combining both statements was sufficient to answer the question

Correct Answer: C

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An increasing sequence consists of 4 negative integers and 6 positive integers. Is the sum of the sequence positive?(1) The difference between any two consecutive negative integers is 5 and the difference between any two consecutive positive integers is 2(2) The first term of the sequence is -16a)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 to answer the question asked.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 specific to the problem are needed.Correct answer is option 'C'. Can you explain this answer?

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An increasing sequence consists of 4 negative integers and 6 positive integers. Is the sum of the sequence positive?(1) The difference between any two consecutive negative integers is 5 and the difference between any two consecutive positive integers is 2(2) The first term of the sequence is -16a)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 to answer the question asked.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 specific to the problem are needed.Correct answer is option 'C'. 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 An increasing sequence consists of 4 negative integers and 6 positive integers. Is the sum of the sequence positive?(1) The difference between any two consecutive negative integers is 5 and the difference between any two consecutive positive integers is 2(2) The first term of the sequence is -16a)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 to answer the question asked.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 specific to the problem are needed.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An increasing sequence consists of 4 negative integers and 6 positive integers. Is the sum of the sequence positive?(1) The difference between any two consecutive negative integers is 5 and the difference between any two consecutive positive integers is 2(2) The first term of the sequence is -16a)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 to answer the question asked.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 specific to the problem are needed.Correct answer is option 'C'. Can you explain this answer?.

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