# A Variety of Sequences

This list contains a number of resources to support the teaching of sequences.

Starting with special number sequences, to finding the nth term, finding the sum of arithmetic sequences and the sum of geometric sequences.

### Fibonacci Numbers

A video from teachers' TV investigating Fibonacci numbers for Key Stage 3 mathematics students in Year 7, shows how to make the maths lesson fun and engaging. A Year 7 class works through a series of envelopes, each containing a prepared activity about Fibonacci numbers and sequences.

### Sequences

Topics covered include: sequences with constant differences, generating a sequence from a formula, generating sequences from pictures, finding the formula for a linear sequence, second differences and quadratic differences and special sequences.

There is extension material in the activities sheet covering finding the limit of a sequence, Ulam's sequence and the general formula for generating quadratic sequences.

### Arithmetic

The Arithmetic and Geometric Progressions resource covers: sequences, series, arithmetic progressions, the sum of an arithmetic series, geometric progressions, the sum of a geometric series, convergence of geometric series.

### Analysing Sequences N13

A DfES Standards Unit resource.

Sstudents learn to define a sequence using the general form of the nth term, define a sequence inductively, recognise and define an arithmetic and a geometric progression and to reflect on and discuss these processes.

### Sequences and Series

**A collection of RISP A level activities.**

**Sequence Tiles** requires students to define a position to term rule for a sequence.

In **Geoarithmetic sequences** students are required to choose two numbers between zero and one and then generate a sequence by following a series of instructions.

**When does Sn = Un ?** asks students to consider when does the nth term of a sequence equal the sum of the sequence

### Sequences and Series

Resources include;

**The sum of an infinite series **covers simplecases leading to evaluating pi and e

**The limit of sequences** explains the notation od sequences and the behaviour of infinite sequences

**Sigma notation** covering writing long sums in sigma notation and the rules for use with sigma notation.