Quant Exam > Quant Questions > A function f(x) satisfies f(1) = 3600,and f(1...
Start Learning for Free
A function f(x) satisfies f(1) = 3600, and f(1) + f(2) +...+ f(n) = n² f(n), for all positive integers n > 1. What is the value of f(9) ?
- a)80
- b)240
- c)200
- d)100
- e)120
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A function f(x) satisfies f(1) = 3600,and f(1) + f(2) +...+ f(n) = n&s...
f(1) = 3600 , f(1) + f(2) = 4 * f(2).
f(2) = f(1)/3. We can write this as f(2) = f(1) * 1/3.
Now, f(1) + f(2) + f(3) = 9 * f(3).
f(3) = f(1) + f(2) / 8. We know f(2) = f(1) / 3.
So, f(3) = f(1) + (f(1)/3) / 8.
We can write this as f(3) = f(1) *1/3 * 2/4. Since we already have f(1) * 1/3, we write it in such a way that the equation has f(1) * 1/3 and then what comes rest, so that we can generalize
Calculating similarly for f(4), we get f(4) = f(1) * 1/3 * 2/4 * 3/5.
So, f(9) will be f(1) * 1/3 * 2/4 * 3/5 * 4/6 * 5/7 *6/8 * 7/9 * 8/10.
=> f(9) = (f(1) * 1 * 2) / (9 *10).
=> f(9) = 3600 * 2/ 9 * 10 = 80.
Calculating similarly for f(4), we get f(4) = f(1) * 1/3 * 2/4 * 3/5.
So, f(9) will be f(1) * 1/3 * 2/4 * 3/5 * 4/6 * 5/7 *6/8 * 7/9 * 8/10.
=> f(9) = (f(1) * 1 * 2) / (9 *10).
=> f(9) = 3600 * 2/ 9 * 10 = 80.
Most Upvoted Answer
A function f(x) satisfies f(1) = 3600,and f(1) + f(2) +...+ f(n) = n&s...
We cannot determine the value of f(2) or any other value of f(x) with the given information. The equation f(1) + f(2) + ... + f(n) = n does not provide any specific relationship between the values of f(x) for different values of x. Therefore, we need more information about the function to determine its values for specific inputs.
Free Test
FREE
| Start Free Test |
Community Answer
A function f(x) satisfies f(1) = 3600,and f(1) + f(2) +...+ f(n) = n&s...
f(1) = 3600 , f(1) + f(2) = 4 * f(2).
f(2) = f(1)/3. We can write this as f(2) = f(1) * 1/3.
Now, f(1) + f(2) + f(3) = 9 * f(3).
f(3) = f(1) + f(2) / 8. We know f(2) = f(1) / 3.
So, f(3) = f(1) + (f(1)/3) / 8.
We can write this as f(3) = f(1) *1/3 * 2/4. Since we already have f(1) * 1/3, we write it in such a way that the equation has f(1) * 1/3 and then what comes rest, so that we can generalize
Calculating similarly for f(4), we get f(4) = f(1) * 1/3 * 2/4 * 3/5.
So, f(9) will be f(1) * 1/3 * 2/4 * 3/5 * 4/6 * 5/7 *6/8 * 7/9 * 8/10.
=> f(9) = (f(1) * 1 * 2) / (9 *10).
=> f(9) = 3600 * 2/ 9 * 10 = 80.
Calculating similarly for f(4), we get f(4) = f(1) * 1/3 * 2/4 * 3/5.
So, f(9) will be f(1) * 1/3 * 2/4 * 3/5 * 4/6 * 5/7 *6/8 * 7/9 * 8/10.
=> f(9) = (f(1) * 1 * 2) / (9 *10).
=> f(9) = 3600 * 2/ 9 * 10 = 80.
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
A function f(x) satisfies f(1) = 3600,and f(1) + f(2) +...+ f(n) = n² f(n),for all positive integers n > 1. What is the value of f(9) ?a)80b)240c)200d)100e)120Correct answer is option 'A'. Can you explain this answer?
Question Description
A function f(x) satisfies f(1) = 3600,and f(1) + f(2) +...+ f(n) = n² f(n),for all positive integers n > 1. What is the value of f(9) ?a)80b)240c)200d)100e)120Correct answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A function f(x) satisfies f(1) = 3600,and f(1) + f(2) +...+ f(n) = n² f(n),for all positive integers n > 1. What is the value of f(9) ?a)80b)240c)200d)100e)120Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A function f(x) satisfies f(1) = 3600,and f(1) + f(2) +...+ f(n) = n² f(n),for all positive integers n > 1. What is the value of f(9) ?a)80b)240c)200d)100e)120Correct answer is option 'A'. Can you explain this answer?.
A function f(x) satisfies f(1) = 3600,and f(1) + f(2) +...+ f(n) = n² f(n),for all positive integers n > 1. What is the value of f(9) ?a)80b)240c)200d)100e)120Correct answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A function f(x) satisfies f(1) = 3600,and f(1) + f(2) +...+ f(n) = n² f(n),for all positive integers n > 1. What is the value of f(9) ?a)80b)240c)200d)100e)120Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A function f(x) satisfies f(1) = 3600,and f(1) + f(2) +...+ f(n) = n² f(n),for all positive integers n > 1. What is the value of f(9) ?a)80b)240c)200d)100e)120Correct answer is option 'A'. Can you explain this answer?.
Solutions for A function f(x) satisfies f(1) = 3600,and f(1) + f(2) +...+ f(n) = n² f(n),for all positive integers n > 1. What is the value of f(9) ?a)80b)240c)200d)100e)120Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of A function f(x) satisfies f(1) = 3600,and f(1) + f(2) +...+ f(n) = n² f(n),for all positive integers n > 1. What is the value of f(9) ?a)80b)240c)200d)100e)120Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A function f(x) satisfies f(1) = 3600,and f(1) + f(2) +...+ f(n) = n² f(n),for all positive integers n > 1. What is the value of f(9) ?a)80b)240c)200d)100e)120Correct answer is option 'A'. Can you explain this answer?, a detailed solution for A function f(x) satisfies f(1) = 3600,and f(1) + f(2) +...+ f(n) = n² f(n),for all positive integers n > 1. What is the value of f(9) ?a)80b)240c)200d)100e)120Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of A function f(x) satisfies f(1) = 3600,and f(1) + f(2) +...+ f(n) = n² f(n),for all positive integers n > 1. What is the value of f(9) ?a)80b)240c)200d)100e)120Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A function f(x) satisfies f(1) = 3600,and f(1) + f(2) +...+ f(n) = n² f(n),for all positive integers n > 1. What is the value of f(9) ?a)80b)240c)200d)100e)120Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup