More complex sequences are investigated where the rule is not a linear function. This rule can be expressed as a linear equation and the terms of the sequence when plotted as a series of coordinates forms a straight line. The most basic sequences of numbers is formed by adding a constant to a term to get the next term of the sequence. There are many different types of sequence and this topic introduces pupils to some of them. Sequences A pattern of numbers following a rule is called a sequence.See also the Mental Methods topic and our Number Skills Inventory. There are a lot of puzzles, challenges and games too. It uses factors and multiples to find solutions to real life problems and encourages number connections to be investigated for pleasure. This topic includes even, odd, prime, triangular, perfect, abundant, square and cube numbers. From seeing patterns in the multiples of numbers shaded in a hundred square to spotting the recurring sequences of digits in decimal numbers there is a great deal for pupils to be introduced to. The world of numbers contains many fascinating patterns and understanding them enables better problem solving strategies. Number Spotting patterns is an important skill in many areas of life.moreĬlick on a topic below for suggested lesson Starters, resources and activities from Transum. Here is an Advanced Starter on this statement:įind an arithmetic series and a geometric series that have the same sum of the first five terms. Pupils should be taught to recognise and use sequences of triangular, square and cube numbers, simple arithmetic progressions, Fibonacci type sequences, quadratic sequences, and simple geometric progressions (r n where n is an integer, and r is a positive rational number \) term of the sequence:".
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