Sequences Practice Questions

The first four terms of a linear sequence are

$9 \qquad 6.75 \qquad 4.5 \qquad 2.25$

Work out an expression for the $n$th term.

Work out the 3rd term of the sequence.

Circle the limiting value of $\dfrac{8n + 3}{4n}$ as $n \to \infty$

• $0.75$
• $2$
• $3$
• $8$

The first four terms of a linear sequence are

$8 \qquad 15 \qquad 22 \qquad 29$

Work out the value of the first term in the sequence that is greater than $500$

Write down the first three terms of the sequence.

Work out the difference between the 12th term and the 8th term.

Show that $88$ is a term of the sequence, and state which term it is.

Is $500$ a term of this sequence?

You must show working to support your answer.

Work out an expression for the $n$th term.

Work out the 30th term of the sequence.

Work out an expression for the $n$th term of $Q$.

Work out the value of the first negative term of $R$.

Work out the values of $p$ and $q$.