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A certain computer program generates a sequence of numbers a1, a2, … ,
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Updated on: 23 Sep 2018, 23:19
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79% (01:56) correct 21% (01:49) wrong based on 326 sessions
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A certain computer program generates a sequence of numbers a1, a2, … , an such that \(a_1 = a_2 = 1\) and \(a_k = a_{k-1} + 2a_{k-2}\) for all integers k such that 3 ≤ k ≤ n. If n > 6, then a7 = ?
Re: A certain computer program generates a sequence of numbers a1, a2, … ,
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03 Mar 2010, 10:53
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1
Nihit wrote:
A certain computer program generates a sequence of numbers a1, a2, … , an such that a1 = a2 = 1 and ak = ak-1 + 2ak-2 for all integers k such that 3 ≤ k ≤ n. If n > 6, then a7 = ?
A. 32 B. 43 C. 64 D. 100 E. 128
Solving as mentioend earlier always helps but here's another approach for this particular problem a1 and a2 are odd and a3 would be odd and all the numbers in the sequence are odd as they are of the format odd number + 2 * odd number. a7 is odd and only B has an odd number
Re: A certain computer program generates a sequence of numbers a1, a2, … ,
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13 Sep 2008, 08:36
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Nihit wrote:
A certain computer program generates a sequence of numbers a1, a2, … , an such that a1 = a2 = 1 and ak = ak-1 + 2ak-2 for all integers k such that 3 ≤ k ≤ n. If n > 6, then a7 = ?
Re: A certain computer program generates a sequence of numbers a1, a2, … ,
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01 Mar 2010, 06:10
x2suresh wrote:
Nihit wrote:
A certain computer program generates a sequence of numbers a1, a2, … , an such that a1 = a2 = 1 and ak = ak-1 + 2ak-2 for all integers k such that 3 ≤ k ≤ n. If n > 6, then a7 = ?
Re: A certain computer program generates a sequence of numbers a1, a2, … ,
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03 Mar 2010, 09:12
Nihit wrote:
A certain computer program generates a sequence of numbers a1, a2, … , an such that a1 = a2 = 1 and ak = ak-1 + 2ak-2 for all integers k such that 3 ≤ k ≤ n. If n > 6, then a7 = ?
Re: A certain computer program generates a sequence of numbers a1, a2, … ,
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29 Jun 2011, 16:08
even though this is good observation. this approach wont work if there are more than 1 odd number in the answer choices.
chix475ntu wrote:
Nihit wrote:
A certain computer program generates a sequence of numbers a1, a2, … , an such that a1 = a2 = 1 and ak = ak-1 + 2ak-2 for all integers k such that 3 ≤ k ≤ n. If n > 6, then a7 = ?
A. 32 B. 43 C. 64 D. 100 E. 128
Solving as mentioend earlier always helps but here's another approach for this particular problem a1 and a2 are odd and a3 would be odd and all the numbers in the sequence are odd as they are of the format odd number + 2 * odd number. a7 is odd and only B has an odd number
Re: A certain computer program generates a sequence of numbers a1, a2, … ,
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17 Feb 2014, 12:24
x2suresh wrote:
Nihit wrote:
A certain computer program generates a sequence of numbers a1, a2, … , an such that a1 = a2 = 1 and ak = ak-1 + 2ak-2 for all integers k such that 3 ≤ k ≤ n. If n > 6, then a7 = ?
Re: A certain computer program generates a sequence of numbers a1, a2, … ,
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17 Feb 2014, 20:29
1
jlgdr wrote:
x2suresh wrote:
Nihit wrote:
A certain computer program generates a sequence of numbers a1, a2, … , an such that a1 = a2 = 1 and ak = ak-1 + 2ak-2 for all integers k such that 3 ≤ k ≤ n. If n > 6, then a7 = ?
Why do they give you this stuff? '3 ≤ k ≤ n. If n > 6'?
Thanks Cheers J
Because the relation they gave you \(a_k = a_{k-1} + 2a_{k-2}\) holds only from the third term onwards till the last term \(a_n\). That is, k should be 3 or more and will take the last value of n. This relation doesn't hold for the first and second terms and holds for all the rest of the terms. That is what this 'stuff' specifies.
If n > 6 tells you that the sequence has more than 6 terms i.e. at least 7 terms.
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Re: A certain computer program generates a sequence of numbers a1, a2, … ,
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11 Mar 2015, 07:13
Nihit wrote:
A certain computer program generates a sequence of numbers a1, a2, … , an such that a1 = a2 = 1 and ak = ak-1 + 2ak-2 for all integers k such that 3 ≤ k ≤ n. If n > 6, then a7 = ?
A. 32 B. 43 C. 64 D. 100 E. 128
Hi,
It will help if (k-1) and (k-2) are written as subscript. Initially, I understood it to be (ak-1+2ak-2) which, without sub-scripting equals ak + 2ak - 3.
Re: A certain computer program generates a sequence of numbers a1, a2, … ,
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03 Nov 2018, 05:57
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79% (01:56) correct 
