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In the finite sequence of positive integers K1, K2, K3, ..., K9, each

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warriorguy
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In the finite sequence of positive integers K1, K2, K3, ..., K9, each [#permalink] New post   09 Apr 2017, 09:23
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In the finite sequence of positive integers \(K_1\), \(K_2\), \(K_3\), ..., \(K_9\), each term after the second is the sum of the two terms immediately preceding it. If \(K_5 = 18\), what is the value of \(K_9\) ?


(1) \(K_4 = 11\)

(2) \(K_6 = 29\)
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quantumliner
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Re: In the finite sequence of positive integers K1, K2, K3, ..., K9, each [#permalink] New post   17 Apr 2017, 14:49
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K1 K2 K3 K4 K5 K6 K7 K8 K9

K5 = K4 + K3 = 18
K9 = K7 + K8 = ?


Statement 1: K4 = 11
Using K4 and K5 we can find K6, then K7 and so on.

This statement is sufficient.

Statement 2: K6 = 29
Using K5 and K6 we can find K7, then K8 and so on.

This statement is sufficient.

Answer is D
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Re: In the finite sequence of positive integers K1, K2, K3, ..., K9, each [#permalink] New post   10 Oct 2017, 12:03
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Ans D.
k 5 = 18 --> k4 + k3 = k5

1) K 4 = 11
K4 +K3 = K5--> k3 = 18 -11
SUFF

2) K 6 = 29
K 6 = K5 + K 4
29 = 18 + K 4
K 4 = 11

SUFF

Ans D.
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Re: In the finite sequence of positive integers K1, K2, K3, ..., K9, each [#permalink] New post   08 Aug 2020, 10:23
warriorguy wrote:
In the finite sequence of positive integers \(K_1\), \(K_2\), \(K_3\), ..., \(K_9\), each term after the second is the sum of the two terms immediately preceding it. If \(K_5 = 18\), what is the value of \(K_9\) ?


(1) \(K_4 = 11\)

(2) \(K_6 = 29\)



k5=18
k9=?
(1) k4=11

k5=k4+k3
18=11+k3
k3=7

Therefore sufficient

(2) k6=29
k6=k5+k4
29=18+k4
k4=11

Therefore sufficient.

These statements are sufficient because we can use to previous two values to find the values of the next term and carry on with the process to find the value of k9.

D
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Re: In the finite sequence of positive integers K1, K2, K3, ..., K9, each [#permalink] New post   08 Nov 2020, 10:34
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Here's an explanation on YouTube:

https://www.youtube.com/watch?v=TbelIYy ... f3ujxAZ1Ds
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Re: In the finite sequence of positive integers K1, K2, K3, ..., K9, each [#permalink] New post   29 Aug 2023, 08:19
Hello from the GMAT Club BumpBot!

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Re: In the finite sequence of positive integers K1, K2, K3, ..., K9, each [#permalink]
29 Aug 2023, 08:19
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