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The sequence a1, a2, ... , a„,... is defined by al = 1, a2 =
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03 Jan 2020, 06:43
03 Jan 2020, 06:43
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The sequence \(a_1, a_2,\) ... , \(a_n\),... is defined by \(a_1 = 1, a_2 = 1,\) and \(a_n = a_{n-1} + a_{n-2}\) for all integers \(n \geq 3\). Which of the following values are terms of the sequence?
Indicate all such values.
A. 8
B. 15
C. 21
D. 24
E. 34
Kudos for the right answer and explanation
Indicate all such values.
A. 8
B. 15
C. 21
D. 24
E. 34
Kudos for the right answer and explanation
Re: The sequence a1, a2, ... , a„,... is defined by al = 1, a2 =
[#permalink]
03 Jan 2020, 06:58
03 Jan 2020, 06:58
1
This is an interesting concept.
We are given that each term is sum of the previous two terms.
Now \(a_1\) = 1 and \(a_2\) = 1
\(a_3 = a_2 + a_1\)
\(a_4 = a_3 + a_2\)
and so on. This forms a pattern.
So our set becomes \({1,1,2,3,5,8,13,21,34,55,...}\)
Out of the given options 8,21 and 34 satisfy.
OA A,C,E
We are given that each term is sum of the previous two terms.
Now \(a_1\) = 1 and \(a_2\) = 1
\(a_3 = a_2 + a_1\)
\(a_4 = a_3 + a_2\)
and so on. This forms a pattern.
So our set becomes \({1,1,2,3,5,8,13,21,34,55,...}\)
Out of the given options 8,21 and 34 satisfy.
OA A,C,E
Carcass wrote:
The sequence \(a_1, a_2,\) ... , \(a_n\),... is defined by \(a_1 = 1, a_2 = 1,\) and \(a_n = a_{n-1} + a_{n-2}\) for all integers \(n \geq 3\). Which of the following values are terms of the sequence?
Indicate all such values.
A. 8
B. 15
C. 21
D. 24
E. 34
Kudos for the right answer and explanation
Indicate all such values.
A. 8
B. 15
C. 21
D. 24
E. 34
Kudos for the right answer and explanation
Re: The sequence a1, a2, ... , a„,... is defined by al = 1, a2 =
[#permalink]
04 Jan 2020, 23:50
04 Jan 2020, 23:50
1,1,2,3,5,8,13,21,34....
Hence,A,C,E.
Hence,A,C,E.
