Mathematics 0580 · IGCSE · Sequences

Sequences — practice question

(a)[11]

Fill in the 5th term and the $n$th term for each sequence in the table.

(b)[3]

Use this rule to complete each of the following Fibonacci sequences: $2, 4, [\,\,\,], [\,\,\,], [\,\,\,]$; $1, [\,\,\,], [\,\,\,], [\,\,\,], 11$; $[\,\,\,], -1, [\,\,\,], [\,\,\,], 1$.

(c(i))[1]

One term in this sequence is $\frac{p}{q}$. Find, in terms of $p$ and $q$, the term that comes next in this sequence.

(c(ii))[1]

Find the term in position 6 of this sequence.

Worked solution & mark scheme

This 16-mark question has a full step-by-step worked solution and mark scheme. One marking point: The 5th term is $-7$.

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