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In the Sequence x0, x1, x2, ..., xn, each term from x1 to xk

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Re: In the Sequence x0, x1, x2, ..., xn, each term from x1 to xk  [#permalink]

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New post 31 Oct 2013, 00:42
this is wron question which can not be from og. pls, show the question number in which og books.

what is relation between x(k+1) and x (k)

there is no relation and the question is wrong.
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Re: In the Sequence x0, x1, x2, ..., xn, each term from x1 to xk  [#permalink]

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New post 31 Oct 2013, 01:03
vietmoi999 wrote:
this is wron question which can not be from og. pls, show the question number in which og books.

what is relation between x(k+1) and x (k)

there is no relation and the question is wrong.


There is nothing wrong with the question. It's from The Official Guide for GMAT Quantitative Review, not sure about the question # though.

As for \(x_{k}\) and \(x_{k+1}\), they are consecutive terms in the sequence.
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Re: In the Sequence x0, x1, x2, ..., xn, each term from x1 to xk  [#permalink]

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New post 02 Apr 2014, 22:00
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Here is an algebraic approach in case the GMAT tests us with a similar question where the no of elements are too big to list out and solve.

Since each term in the sequence from X1 to Xk is 3 greater than the previous term, we can right a general formula,

Xk=X0+k*3, inserting the values Xk=15, X0=0
15=0+k*3
k=5

Now each term from Xk to Xn is 3 less than the previous term, the general formula will be

Xn=Xk-(n-k)*3, inserting the values Xn=0, Xk=15, k=5
0=15-(n-5)*3
0=15-3*n+15
3*n=30
n=10

Hope it makes sense
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Re: In the Sequence x0, x1, x2, ..., xn, each term from x1 to xk  [#permalink]

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New post 17 Oct 2016, 14:53
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I got this question as part of 37 timed sample OG questions I created for myself. When I saw it, I got overwhelmed by the wording of the question and decided to blindly guess and skip it. When reviewing my wrong answers, I was able to solve it but it still took me over 3 minutes. I think this is one of the reasons that it is recommended that we solve easy and medium question in less than 1:30, and leave some time for more wordy and time consuming questions like this one. This is a classic example of how a very simple concept can be layered in the GMAT to make it seem more "difficult".
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Re: In the Sequence x0, x1, x2, ..., xn, each term from x1 to xk  [#permalink]

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New post 29 May 2017, 21:27
tonebeeze wrote:
In the sequence \(x_0, x_1, x_2, ... x_n\), each term from \(x_1\) to \(x_k\) is 3 greater than the previous term, and each term from \(x_k_+_1\) to \(x_n\) is 3 less than the previous term, where n and k are positive integers and k < n. If \(x_0\) = \(x_n\) = 0 and if\(x_k\) = 15, what is the value of n?

A. 5
B. 6
C. 9
D. 10
E. 15


In this problem, you must stay vigilant and organized. Here we know that the sequence starts at xo = 0 and works its way up to xk = 15.

We then know it decreases from xk+1 to xn = 0 in increments of 3.

So we know that it increases by 3 starting at 0 to 15 (5 steps) and it decreases by increments of 3 from 15 to 0 (5 steps).

5 steps + 5 steps = 10 steps.
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Re: In the Sequence x0, x1, x2, ..., xn, each term from x1 to xk  [#permalink]

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New post 28 Mar 2018, 02:37
tonebeeze wrote:
In the sequence \(x_0, x_1, x_2, ... x_n\), each term from \(x_1\) to \(x_k\) is 3 greater than the previous term, and each term from \(x_k_+_1\) to \(x_n\) is 3 less than the previous term, where n and k are positive integers and k < n. If \(x_0\) = \(x_n\) = 0 and if\(x_k\) = 15, what is the value of n?

A. 5
B. 6
C. 9
D. 10
E. 15



OPEN DISCUSSION OF THIS QUESTION IS HERE: https://gmatclub.com/forum/in-the-seque ... 68359.html
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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Re: In the Sequence x0, x1, x2, ..., xn, each term from x1 to xk   [#permalink] 28 Mar 2018, 02:37

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