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Point C is the midpoint of AB
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18 Sep 2020, 10:23
18 Sep 2020, 10:23
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Question Stats:
51% (01:32) correct
48% (01:43) wrong based on 276 sessions
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Point C is the midpoint of \(\overline {AB}\) and n is a positive integer.
Quantity A |
Quantity B |
k |
14 |
A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.
Re: Point C is the midpoint of AB
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18 Sep 2020, 19:34
18 Sep 2020, 19:34
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if C is a midpoint of AB, it is true that:
\(k*3^n = \frac{(3^n + 3^{n+3})}{2}\)
doing some math:
\(2*k-1 = \frac{(3^{n+3})}{3^n}\)
\(2*k-1 = 3^3\)
\(k= 14\)
\(k*3^n = \frac{(3^n + 3^{n+3})}{2}\)
doing some math:
\(2*k-1 = \frac{(3^{n+3})}{3^n}\)
\(2*k-1 = 3^3\)
\(k= 14\)
General Discussion
Re: Point C is the midpoint of AB
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18 Sep 2020, 10:24
18 Sep 2020, 10:24
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Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!
For more theory and practice see our GRE - Math Book
Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!
For more theory and practice see our GRE - Math Book
