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The sequence x1 , x2 ....xn is such that x1 = 5, x2 = ­5, x3 = 0, x4 =

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Joined: 07 Jun 2017
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Location: India
Concentration: Technology, General Management
GMAT 1: 660 Q46 V38
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The sequence x1 , x2 ....xn is such that x1 = 5, x2 = ­5, x3 = 0, x4 = [#permalink]

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The sequence \(X1, X2....Xn\) is such that \(X1 = 5, X2 = -­5, X3 = 0, X4 = ­- 2, X5 = 4\) 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.
[Reveal] Spoiler: OA

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email: nkmungila@gmail.com
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Re: The sequence x1 , x2 ....xn is such that x1 = 5, x2 = ­5, x3 = 0, x4 = [#permalink]

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New post 26 Oct 2017, 01:42
nkmungila wrote:
The sequence \(X1, X2....Xn\) is such that \(X1 = 5, X2 = -­5, X3 = 0, X4 = ­- 2, X5 = 4\) 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.



Hi..

I am sure the \(X n = X n­-5\) actually means \(X_n = X_{n­-5}\)
so the sequence is ..
\(5,-5,0,-2,4,5,-5,0,-2,4.........\)

lets see the statements...
(1) Sum of the first P terms in the given sequence is 10.
lets see how the SUM increases...
5+(-5)=0....0+0=0.....0+(-2)=-2....-2+4=2.....2+5=7.....7_5=2
so if we are looking at SUM as 10, there should be 5 repetitions as EACH repetition gives us 2...
so 25 numbers in sequence will have 10 as SUM
But when we add 5 and -5 are added, SUM will again be 10 and then when we add 0(28th number), Sum will again be 10
so ANS can be 25, 27 or 28
Insuff

(2) Sum of the first P+3 terms in the given sequence is 10.
As in statement I, P+3 could be 25,27 or 28
Insuff

combined..
P can be 25, 27 or 28
if P is 25, P + 3 =28......POSSIBLE
if P =27, P+3=30....NO
if P+28, P+3=31...NO

so P = 25
sufficient

C
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Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

Kudos [?]: 6107 [0], given: 121

Re: The sequence x1 , x2 ....xn is such that x1 = 5, x2 = ­5, x3 = 0, x4 =   [#permalink] 26 Oct 2017, 01:42
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