The nth term

A linear sequence has

• 2nd term = 6

• 5th term = 18

Work out the n th term of the sequence.

A linear sequence has

• 2nd term = 6

• 5th term = 18

Work out the n th term of the sequence.

Here are the first four terms of a quadratic sequence.

6 15 28 45

Work out an expression for the n th term.

A linear sequence begins

2 5 8 11

Work out an expression for the n th term.

The first four terms of a linear sequence are

6 13 20 27

Write down the expression for the n th term.

A linear sequence starts

7 10 13 16 Work out an expression for the n th term of the sequence.

Here are the first four terms of a quadratic sequence. 3 20 47 84 Work out an expression for the n th term of the sequence.

The n th terms of two linear sequences, A and B, are added to give the n th term of a new sequence. The new sequence starts 8 13 18 23 The n th term of sequence A is n + 1 Work out the n th term of sequence B.

A is an arithmetic progression. Here are the first four terms. 13 16 19 22

G is a geometric progression. Here are the first four terms. 2 4 8 16

Work out the value of n.

n =

The first two terms of a quadratic sequence are 10 and 17 Here is some information about the sequence.

Work out an expression for the n th term of the sequence.

A sequence of patterns is made using horizontal sticks and vertical sticks.

The table shows the number of horizontal sticks and vertical sticks in each pattern.

What fraction of the total number of sticks in Pattern n are horizontal? Give your answer in terms of n.

Work out the sum of the 1st and 6th terms.

The 5th term of a linear sequence is 17 The 6th term of the sequence is 21 Work out the 100th term of the sequence.

The 5th term of a linear sequence is 17 The 6th term of the sequence is 21 Work out the 100th term of the sequence.

A linear sequence starts 11 21 31 41 … Work out an expression for the n th term of the sequence.

The n th term of a sequence is 5 n – 2 Work out the 3rd term. Circle your answer.

51 5 123 13

Here are the first four terms of a quadratic sequence. 11 26 45 68

Work out an expression for the n th term.

The first four terms of a linear sequence are 7 11 15 19 Circle the expression for the n th term.

n + 6 4 n + 3 7 n + 4 n + 4

The first 4 terms of a linear sequence are 3 11 19 27 Circle the expression for the n th term.

8 – 5 n n + 8 8 n + 3 8 n – 5

The n th term of a sequence is 12 n – 5 Work out the numbers in the sequence that have two digits and are not prime.

Circle the expression for the range of n consecutive integers.

The first four terms of a sequence are –10 –8 –6 –4 Circle the expression for the n th term of the sequence.

–12 – 2 n –8 – 2 n n + 2 2 n – 12

Here is a sequence. 90 82 74 66 58 Circle the expression for the n th term of the sequence.

n – 8 98 – 8 n 8 n + 82 8 n – 98

Work out an expression for the n th term of the quadratic sequence

2 17 40 71.... Give your answer in the form an² + bn + c where a, b and c are constants.