[br]For each positive integer $c$, the sequence $u_n$ of integers is defined by $u_1 = 1$, $u_2 = c$, $u_n = (2n+1) u_{n−1}−(n^2 − 1) u_{n−2}$, $(n \geq 3)$. For which values of $c$ does this sequence have the property that $u_i$ divides $u_j$ whenever $i \leq j$? (Note: If $x$ and $y$ are integers, then $x$ divides $y$ if and only if there exists an integer $z$ such that $y$ = $xz$. For example, $x = 4$ divides $y = −12$, since we can take $z = −3$.)
[br]For each positive integer $c$, the sequence $u_n$ of integers is defined by $u_1 = 1$, $u_2 = c$, $u_n = (2n+1) u_{n−1}−(n^2 − 1) u_{n−2}$, $(n \geq 3)$. For which values of $c$ does this sequence have the property that $u_i$ divides $u_j$ whenever $i \leq j$? (Note: If $x$ and $y$ are integers, then $x$ divides $y$ if and only if there exists an integer $z$ such that $y$ = $xz$. For example, $x = 4$ divides $y = −12$, since we can take $z = −3$.)
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Did Cambridge maths students find maths and further maths a level very easy?Last reply 2 weeks ago
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Last reply 4 days ago
Did Cambridge maths students find maths and further maths a level very easy?Last reply 2 weeks ago
Edexcel A Level Mathematics Paper 2 unofficial mark scheme correct me if wrong71