Mathematics 4024 · O Level · Sequences

Sequences — practice question

The first four terms in the sequence are $u_1,u_2,u_3,u_4$.
(a)[1]

Determine $u_5$.

(b)[1]

The $n$th term of the sequence, $u_n$, has the form $n(n+p)+(n+q)^2$. State the value of $p$ and the value of $q$.

(c)[2]

The $u_n$ expression can also be written as $An^2+Bn+C$. Find the values of $A$, $B$ and $C$.

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