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For all integers n, the function f is defined by f(n) = an, where a is a constant. What is the value of f(1)?
(1) f(2) = 100
(2) f(3) = -1,000
  • 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
For all integers n, the function f is defined by f(n) = an, where a is...
To find the value of f(1), we need to determine the value of the constant a in the function f(n) = an. Let's evaluate each statement separately:
Statement (1): f(2) = 100
Substituting 2 for n in the function, we have:
f(2) = a * 2 = 100
This equation alone does not provide enough information to determine the value of a or f(1). Therefore, Statement (1) alone is not sufficient to answer the question.
Statement (2): f(3) = -1,000
Substituting 3 for n in the function, we have:
f(3) = a * 3 = -1,000
This equation alone provides the information to determine the value of a. Dividing both sides of the equation by 3, we find:
a = -1,000 / 3 = -333.33...
Now we can find the value of f(1) by substituting 1 for n in the function:
f(1) = a * 1 = -333.33... * 1 = -333.33...
Therefore, from Statement (2) alone, we can determine that the value of f(1) is approximately -333.33....
Since Statement (2) alone is sufficient to determine the value of f(1), but Statement (1) alone is not sufficient, the answer is B: Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
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For all integers n, the function f is defined by f(n) = an, where a is a constant. What is the value of f(1)?(1) f(2) = 100(2) f(3) = -1,000a)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
For all integers n, the function f is defined by f(n) = an, where a is a constant. What is the value of f(1)?(1) f(2) = 100(2) f(3) = -1,000a)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 For all integers n, the function f is defined by f(n) = an, where a is a constant. What is the value of f(1)?(1) f(2) = 100(2) f(3) = -1,000a)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 For all integers n, the function f is defined by f(n) = an, where a is a constant. What is the value of f(1)?(1) f(2) = 100(2) f(3) = -1,000a)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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