Sequences (AQA GCSE Further Maths)

The th term of a sequence is   

A term of the sequence has a value of 5

Work out the value of .

[2]

Write down the limiting value of the sequence as 

[1]

The first four terms of a quadratic sequence are

0

1

0

-3

Work out an expression for the th term.

[3]

A linear sequence has first term    

The term-to-term rule is

One term of the sequence is an integer.

Work out the value of this integer.

[2]

The th term of a sequence is   

Work out the sum of the first three terms.

[2]

The first four terms of a quadratic sequence are

-3      3      13      27

Work out an expression for the th term.

[3]

The th term of a sequence is  

Work out the position of the term that has the value zero.

[2]

Write down the limiting value of the sequence as 

[1]

The th term of a sequence is  

Work out the position of the term that has a value of  

[2]

Write down the limiting value of    as 

[1]

Here are the first four terms of linear sequences and and quadratic sequence .

Sequence X	7	9	11	13	...
Sequence Y	2	5	8	11	...
Sequence Z	14	45	88	143	...

 Work out the nth term of sequence .   

[2]

The th term of sequence is 3 – 1

Using your answer to part (a), or otherwise, work out the th term of sequence .
Give your answer in the form where and are integers.

[3]