What does it mean to not divide any term
$begingroup$
I am trying to solve the below problem(Please don't solve it)
The sequence 1, 1, 1, 3, 5, 9, 17, 31, 57, 105, 193, 355, 653, 1201
... is defined by T1 = T2 = T3 = 1 and Tn = Tn-1 + Tn-2 + Tn-3.
It can be shown that 27 does not divide any terms of this sequence. In
fact, 27 is the first odd number with this property.
Find the 124th odd number that does not divide any terms of the above
sequence.
What does it mean does not divide any terms? Can you explain it to me, please?
divisibility
asked Jan 22 at 23:21
Ilya GazmanIlya Gazman
470927
$endgroup$
add a comment |
$begingroup$
I am trying to solve the below problem(Please don't solve it)
The sequence 1, 1, 1, 3, 5, 9, 17, 31, 57, 105, 193, 355, 653, 1201
... is defined by T1 = T2 = T3 = 1 and Tn = Tn-1 + Tn-2 + Tn-3.
It can be shown that 27 does not divide any terms of this sequence. In
fact, 27 is the first odd number with this property.
Find the 124th odd number that does not divide any terms of the above
sequence.
What does it mean does not divide any terms? Can you explain it to me, please?
divisibility
asked Jan 22 at 23:21
Ilya GazmanIlya Gazman
470927
$endgroup$
add a comment |
$begingroup$
I am trying to solve the below problem(Please don't solve it)
The sequence 1, 1, 1, 3, 5, 9, 17, 31, 57, 105, 193, 355, 653, 1201
... is defined by T1 = T2 = T3 = 1 and Tn = Tn-1 + Tn-2 + Tn-3.
It can be shown that 27 does not divide any terms of this sequence. In
fact, 27 is the first odd number with this property.
Find the 124th odd number that does not divide any terms of the above
sequence.
What does it mean does not divide any terms? Can you explain it to me, please?
divisibility
asked Jan 22 at 23:21
Ilya GazmanIlya Gazman
470927
$endgroup$
I am trying to solve the below problem(Please don't solve it)
The sequence 1, 1, 1, 3, 5, 9, 17, 31, 57, 105, 193, 355, 653, 1201
... is defined by T1 = T2 = T3 = 1 and Tn = Tn-1 + Tn-2 + Tn-3.
It can be shown that 27 does not divide any terms of this sequence. In
fact, 27 is the first odd number with this property.
Find the 124th odd number that does not divide any terms of the above
sequence.
What does it mean does not divide any terms? Can you explain it to me, please?
divisibility
divisibility
asked Jan 22 at 23:21
Ilya GazmanIlya Gazman
470927
asked Jan 22 at 23:21
Ilya GazmanIlya Gazman
470927
asked Jan 22 at 23:21
Ilya GazmanIlya Gazman
470927
asked Jan 22 at 23:21
Ilya GazmanIlya Gazman
470927
asked Jan 22 at 23:21
Ilya GazmanIlya Gazman
470927
470927
add a comment |
add a comment |
2 Answers
2
active
oldest
votes
$begingroup$
"$27$ does not divide any terms" means it does not divide $31$ or $57$ or $105$ or ... and so on for all the numbers in that sequence. (I started that at $31$ because it clearly can't divide anything smaller than itself.)
$endgroup$
add a comment |
$begingroup$
That mean find the 124-th number (equal $a(124)$ for example) verify : $forall n in mathbb{N}^{*} quad a(124) nmid T_n$
answered Jan 22 at 23:32
LAGRIDALAGRIDA
6719
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add a comment |
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2 Answers
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2 Answers
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active
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$begingroup$
"$27$ does not divide any terms" means it does not divide $31$ or $57$ or $105$ or ... and so on for all the numbers in that sequence. (I started that at $31$ because it clearly can't divide anything smaller than itself.)
$endgroup$
add a comment |
$begingroup$
"$27$ does not divide any terms" means it does not divide $31$ or $57$ or $105$ or ... and so on for all the numbers in that sequence. (I started that at $31$ because it clearly can't divide anything smaller than itself.)
$endgroup$
add a comment |
$begingroup$
"$27$ does not divide any terms" means it does not divide $31$ or $57$ or $105$ or ... and so on for all the numbers in that sequence. (I started that at $31$ because it clearly can't divide anything smaller than itself.)
$endgroup$
"$27$ does not divide any terms" means it does not divide $31$ or $57$ or $105$ or ... and so on for all the numbers in that sequence. (I started that at $31$ because it clearly can't divide anything smaller than itself.)
answered Jan 22 at 23:27
community wiki
Ethan Bolker
add a comment |
add a comment |
$begingroup$
That mean find the 124-th number (equal $a(124)$ for example) verify : $forall n in mathbb{N}^{*} quad a(124) nmid T_n$
answered Jan 22 at 23:32
LAGRIDALAGRIDA
6719
$endgroup$
add a comment |
$begingroup$
That mean find the 124-th number (equal $a(124)$ for example) verify : $forall n in mathbb{N}^{*} quad a(124) nmid T_n$
answered Jan 22 at 23:32
LAGRIDALAGRIDA
6719
$endgroup$
add a comment |
$begingroup$
That mean find the 124-th number (equal $a(124)$ for example) verify : $forall n in mathbb{N}^{*} quad a(124) nmid T_n$
answered Jan 22 at 23:32
LAGRIDALAGRIDA
6719
$endgroup$
That mean find the 124-th number (equal $a(124)$ for example) verify : $forall n in mathbb{N}^{*} quad a(124) nmid T_n$
answered Jan 22 at 23:32
LAGRIDALAGRIDA
6719
answered Jan 22 at 23:32
LAGRIDALAGRIDA
6719
answered Jan 22 at 23:32
LAGRIDALAGRIDA
6719
answered Jan 22 at 23:32
LAGRIDALAGRIDA
6719
6719
add a comment |
add a comment |
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