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Updated on: 02 Mar 2023, 00:53
Originally posted by TBT on 01 Mar 2023, 23:47.
Last edited by gmatophobia on 02 Mar 2023, 00:53, edited 1 time in total.
Last edited by gmatophobia on 02 Mar 2023, 00:53, edited 1 time in total.
Corrected the question
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
40% (02:07) correct
60%
(02:17)
wrong
based on 78
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The sequence \(x_1,x_2 ....x_n\) is such that \(x_1\)= 5, \(x_2\)= - 5, \(x_3\)= 0 , \(x_4\) = - 2, \(x_5\) = 4 and \(x_n\) = \(x_{n - 5}\). P is an integer greater than 5. P= ?
(1) Sum of the first P terms in the given sequence is 10.
(2) Sum of the first P + 3 terms in the given sequence is 10.
(1) Sum of the first P terms in the given sequence is 10.
(2) Sum of the first P + 3 terms in the given sequence is 10.
02 Mar 2023, 01:08
Kudos
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TBT
The sequence \(x_1,x_2 ....x_n\) is such that \(x_1\)= 5, \(x_2\)= - 5, \(x_3\)= 0 , \(x_4\) = - 2, \(x_5\) = 4 and \(x_n\) = \(x_{n - 5}\). P is an integer greater than 5. P= ?
(1) Sum of the first P terms in the given sequence is 10.
(2) Sum of the first P + 3 terms in the given sequence is 10.
(1) Sum of the first P terms in the given sequence is 10.
(2) Sum of the first P + 3 terms in the given sequence is 10.
Edit: The question as originally presented was not correctly formatted, hence I have corrected the same.
Let's write a few terms in the sequence
A = {\(5, \quad -5, \quad 0, \quad -2, \quad 4, \quad 5, \quad -5, \quad 0, \quad -2, \quad 4 .... \)}
Statement 1
(1) Sum of the first P terms in the given sequence is 10.
The addition of the first five terms in the sequence yields the sum = 2
So P can be 5 such sets, i.e. P can be 25.
However, if we take the sum of the first two, or the first three terms the sum adds to 0.
Hence, if P = 25, 27, or 28 the sum will still be 0.
The statement is not sufficient.
Statement 2
(2) Sum of the first P + 3 terms in the given sequence is 10
Similar to statement 1, P+3 can be 25, 27, or 28 or we can further and P + 3 can be 34.
As we are getting multiple values of P we can eliminate B.
Combined
P + 3 = 28
Hence, P = 25
Sufficient.
Option C
27 Oct 2024, 03:17
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