Sequences (AQA GCSE Further Maths)

The first four terms of a quadratic sequence are

Work out an expression for the th term.

A linear sequence has first term    .

The term-to-term rule is

add

One term of the sequence is an integer.

Work out the value of this integer.

For sequence A,  term = .

For sequence B,   term = .

The term of sequence A equals the  term of sequence B.

Work out the value of . You must show your working.

A quadratic sequence starts

Work out an expression for the th term.

The th term of a sequence is .

Work out an expression for the difference between the th term and the th term.

Give your answer as a single simplified fraction.

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

 Work out the nth term of sequence .

The th term of sequence is

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.

The th term of a sequence is where and are integers.

The second term in the sequence is .

The limiting value of the sequence as is .

Find the values of and .

The sequence

has an th term formula of where and are integers.

Find the values of and .