The nth term

Grey tiles are used to make patterns as follows.

Pattern 1 Pattern 2 Pattern 3 Pattern 4

How many grey tiles would you need to make Pattern n?

Grey tiles are used to make patterns as follows.

Pattern 1 Pattern 2 Pattern 3 Pattern 4

How many grey tiles would you need to make Pattern n?

The first four terms of a sequence are

Find the nth term of the sequence.

Hence, find the 250th term.

The n th term of a sequence is given by 5 n − 1.

Calculate the sum of the first three terms.

You must show all your working.

The n th term of a sequence is given by 5 n − 1.

Calculate the sum of the first three terms.

You must show all your working.

Write down an expression for the n th term of the following sequence.

11, 15, 19, 23,....

The nth term of a different sequence is given by n² − 5.

Write down the first three terms of this sequence.

First three terms are_........ ,_........ ,_........

Write down an expression for the n th term of the following sequence.

11, 15, 19, 23,....

The nth term of a different sequence is given by n² − 5.

Write down the first three terms of this sequence.

First three terms are_........ ,_........ ,_........

Simplify each of the following. Circle your answer in each case.

m⁴ m³

Write down an expression for the nth term of the following sequence.

List all of the integers that satisfy the following inequality.

13 < 2 n < 19

Simplify each of the following. Circle your answer in each case.

m⁴ m³

Write down an expression for the nth term of the following sequence.

List all of the integers that satisfy the following inequality.

13 < 2 n < 19

The nth term of a sequence is given by 3n 13.

Write down the value of

the 10th term,

the 4th term.

The nth term of a sequence is given by 3n 13.

Write down the value of

the 10th term,

the 4th term.

Write down an expression for the nth term of the following sequence.

The n th term of a sequence is given by 1·7 n − 3.

Which term will be the first whole number in this sequence?

First whole number is the_{…........ ……….}th term.

Write an expression for the n th term of the following sequence.

The first four diagrams in a sequence are shown below.

Diagram 1 Diagram 2 Diagram 3
Diagram 4

Complete the following subtraction.

The first three diagrams in another sequence are shown below.

Give an expression, in terms of n, for the number of dots (●) in Diagram n.

You must simplify your expression.

Write an expression for the n th term of the following sequence.

The first four diagrams in a sequence are shown below.

Diagram 1 Diagram 2 Diagram 3
Diagram 4

Complete the following subtraction.

The first three diagrams in another sequence are shown below.

Give an expression, in terms of n, for the number of dots (●) in Diagram n.

You must simplify your expression.

The first four terms of a sequence are

Find the 100th term of the sequence.

Write down the first three terms of the sequence whose nth term is given by n² – 6.

Write down an expression for the nth term of the following sequence.

5, 11, 17, 23, …

Write down the first three terms of the sequence whose nth term is given by n² – 6.

Write down an expression for the nth term of the following sequence.

5, 11, 17, 23, …

Write down the n th term of the following sequence.

8, 11, 14, 17, ……

Make t the subject of the formula r = 3t – 8.

A rectangle has a length of (x + 5) cm and a width of (2x – 3) cm. Its perimeter is 46 cm.

Calculate the value of x.

Write down the n th term of the following sequence.

8, 11, 14, 17, ……

Make t the subject of the formula r = 3t – 8.

A rectangle has a length of (x + 5) cm and a width of (2x – 3) cm. Its perimeter is 46 cm.

Calculate the value of x.

The nth term of a sequence is given by 3n – 20.

What is the value of the 6th term?

Factorise the following.

6x – 15

y² + 4y

The nth term of a sequence is given by 3n – 20.

What is the value of the 6th term?

Consider the following statement.

‘There are no odd numbers greater than 50 in this sequence.’

Show that this statement is incorrect.

The nth term of a sequence is given by 2n – 11.

Write down the value of,

the 10th term,

the 3rd term.

The table below shows the first five terms of a sequence of numbers.

Circle the correct equation that connects terms t₆ and t₇.

The nth term of another sequence is given by 2n – 11.

Write down the value of,

the 10th term,

the 3rd term.

Rearrange the following formula to make x the subject.

Give your answer in its simplest form.

2(x + y) = 7 y – 3

Write down the nth term of the following sequence.

3, 6, 11, 18, 27, …

Write down the first three terms of the sequence whose n th term is given by 2 n – 5.

The first three terms are_{……........ …..},_{……........ …..} and_{……........ …..}

Write down an expression for the nth term of the following sequence.

7, 11, 15, 19,...