# Series

This sub-collection of resources from the Virtual Text Book collection contains three resources designed for use on an interactive whiteboard to aid the teaching and learning of a variety of topics in ‘Series'. Each resource is an interactive Excel worksheet to encourage teacher-student interaction. The topics covered are:

• Arithmetic Series
• Geometric Series
• Golden Ratio

## Resources

### Arithmetic Series

This series of interactive excel sheets look at arithmetic series and progressions.

The first sheet gives examples of arithmetic sequences, of which the value of a further term in the sequence, the first term and the common difference can be hidden or revealed. A new set of sequences can be made at the click...

### Golden Ratio

This series of excel interactive sheets look at the golden ratio.

The first two sheets investigate the ratio of each pair of consecutive terms in the Fibonacci series, and what happens to the ratio as the sequence tends to infinity. The following sheet shows different ways of looking at Pascal’s triangle and...

### Geometric Series

This series of interactive excel sheets help investigate geometric series and progressions.

The first sheet generates the terms of a geometric progression, for |r| ≥ 1, and the value of a further term. A new sequence can be generated at the click of a button.

The second interactive sheet demonstrates...