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The equation n < 1/{(-2)^{-n}} < 135.43 is true for how many
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01 Oct 2017, 22:20
01 Oct 2017, 22:20
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Question Stats:
48% (01:49) correct
51% (02:01) wrong based on 27 sessions
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The equation \(n < \frac{1}{{(-2)^{-n}}} < 135.43\) is true for how many unique integer values of n, where n is a prime number?
A. 7
B. 4
C. 2
D. 1
E. 0
Kudos for correct solution.
A. 7
B. 4
C. 2
D. 1
E. 0
Kudos for correct solution.
Re: The equation n < 1/{(-2)^{-n}} < 135.43 is true for how many
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02 Oct 2017, 00:07
02 Oct 2017, 00:07
2
Bunuel wrote:
The equation \(n < \frac{1}{{(-2)^{-n}}} < 135.43\) is true for how many unique integer values of n, where n is a prime number?
A. 7
B. 4
C. 2
D. 1
E. 0
Kudos for correct solution.
A. 7
B. 4
C. 2
D. 1
E. 0
Kudos for correct solution.
we can rephrase the statement as
\(n < (-2)^{n} < 135.43\)
Given n is prime number, and it should also be an even number to satisfy the equation
SO there is only one option for n i.e 2 (since it is even and prime number)
Hence ans is D.
Re: The equation n < 1/{(-2)^{-n < 135.43 is true for how many
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01 Sep 2024, 01:18
01 Sep 2024, 01:18
Why do you say it should be positive? there is nothing in the question that implies. Correct me if I'm wrong. Integer can be negative too, that's why there are infinite solutions.
