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26 Oct 2016, 12:52
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Difficulty:
15%
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Question Stats:
83% (01:31) correct
17%
(01:26)
wrong
based on 212
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In a certain sequence, every term, tn, is given by the formula tn = (k)(n) + 15, for some constant k and for all n > 1. What is the value of t10?
(1) t8 - t7 = 5
(2) (t8)/(t7) = 11/10
*Kudos for all correct solutions
Here's our video solution: https://www.gmatprepnow.com/module/gmat ... /video/940
(1) t8 - t7 = 5
(2) (t8)/(t7) = 11/10
*Kudos for all correct solutions
Here's our video solution: https://www.gmatprepnow.com/module/gmat ... /video/940
26 Oct 2016, 18:13
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To find the 10th term, we need to know the value of k. It is sufficient to check whether we can find the value of k from the two options
(1) \(t8 - t7 = 5\)
\(8K+15 -(7K+15)= 15\)
k = 5
(1) is Sufficient
(2) (t8)/(t7) = 11/10
\(\frac{8k+15}{7k+15} = \frac{11}{10}\)
this is a linear equation in k, k can be found out.
(2) is also sufficient.
Hence Option D
(1) \(t8 - t7 = 5\)
\(8K+15 -(7K+15)= 15\)
k = 5
(1) is Sufficient
(2) (t8)/(t7) = 11/10
\(\frac{8k+15}{7k+15} = \frac{11}{10}\)
this is a linear equation in k, k can be found out.
(2) is also sufficient.
Hence Option D
26 Oct 2016, 22:55
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tn = K(n) + 15
t10 = ?
Statement 1 = 8k + 15 - 7k - 15 = 5, we can solve for x and find t10. Sufficient.
Statement 2 = (8k + 15)/(7k + 15) = 11/10, single variable equation, we can solve for K and find t10, Sufficient.
Option D.
t10 = ?
Statement 1 = 8k + 15 - 7k - 15 = 5, we can solve for x and find t10. Sufficient.
Statement 2 = (8k + 15)/(7k + 15) = 11/10, single variable equation, we can solve for K and find t10, Sufficient.
Option D.
