![]() Quality Assured Category: Mathematics Publisher: RISPs Students are given three different, blank, Venn diagrams and have to lavel the sets of the diagrams using a list of different types of sequence. Sorting sequences is a task which really tests students understanding of the topic. Students are given the first few terms of a number sequences and are asked to which sequence a particular number belongs. Which belongs to which? is a task designed to encourage students to find and use a formula to describe the nth term of a sequence. In each task students have to match the information given about a sequence with the correct sequence. Students have to devise their own sequence using this information.ĪPs and GPs: find a sequence contains two tasks designed to develop connections between the properties of the sequence and the notation describing it. The task is extended by the fact that there will be some information remaining. Matching the sequence is a task where students have to match information to the given sequences. Introduction to sequences and series contains a number of useful starter activities followed by a task designed for students to practise using mathematical notation. Each resource starts with teacher notes followed by a student activity. This resource, from Susan Wall, contains five activities designed to strengthen understanding of the use of notation when dealing with sequences and series. ![]() ![]() Quality Assured Category: Mathematics Publisher: Susan Wall The file contains two printable A4 worksheets on number sequences and their formulae and a further worksheet on recurrence relations. The resource also contains a table of six changeable geometric progressions and invites users to complete the missing values that can then be revealed. It displays two graphs which plot the value and sum of the first twenty terms of a geometric series with first term 0.8 and a changeable common ratio. The resource also includes how a proof of the formulae for the sum to infinity can be deduced from the sum of the first n terms.As well as a demonstration of the effect of changing the common ratio for a geometric series for |r| < 1. The terms of a geometric progression, where |r| < 1 and given as a decimal or common fraction, can also be generated. It displays two graphs which plot the value and sum of the first twenty terms of a geometric series with first term 0.8 and a changeable common ratio, for |r| ≥ 1. ![]() The second interactive sheet demonstrates the effect of changing the common ratio for a geometric series. The first sheet generates the terms of a geometric progression, for |r| ≥ 1, and the value of a further term. New sequences can be generated each time by the click of a button. This interactive excel file from The Virtual Textbook covers geometric series and progressions. Quality Assured Category: Mathematics Publisher: The Virtual Textbook The sigma notation resource introduces the method of representing long sums, as well as asking students to expand a sum given in sigma notation, to write an explicit sum in sigma notation where there is an obvious pattern to the individual terms and to use rules to manipulate sums expressed in sigma notation. Limits of sequences covers the formula for the nth term of sequence whether a sequence tends to positive or negative infinity whether it tend to a real limit or diverges nad the notation for the limit of a sequence. The sum of an infinite series allows students to recognise the difference between a sequence and a series write down the sequence of partial sums of an infintie series and determine (in simple cases) whether an infinite series has a sum. Each topic includes a selection of questions to be completed, for which answers are provided. Students wishing to review, and consolidate, their knowledge and understanding of sequences will find them useful. Each contain comprehensive notes, with clear descriptions, together with relevant diagrams and examples. There are three resources in this mathscentre collection. Quality Assured Category: Mathematics Publisher: Mathcentre
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