Unit 8 Number Sequences Presentation 1Simple Number Patterns Presentation 2Recognising Patterns Presentation 3Geometric Patterns Presentation 4Linear Sequence.

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Presentation transcript:

Unit 8 Number Sequences Presentation 1Simple Number Patterns Presentation 2Recognising Patterns Presentation 3Geometric Patterns Presentation 4Linear Sequence Presentation 5General Laws

Unit 8 Number Sequences Simple Number Patterns

What are the next three terms?

Unit 8 Number Sequences You have finished viewing: Simple Number Patterns Return to front slide Presentation 1Simple Number Patterns Presentation 2Recognising Patterns Presentation 3Geometric Patterns Presentation 4Linear Sequence Presentation 5General Laws

Unit 8 Number Sequences Recognising Patterns

For some sequences, you need to find the pattern in the difference. For example, First difference Second difference

Unit 8 Number Sequences You have finished viewing: Recognising Patterns Return to front slide Presentation 1Simple Number Patterns Presentation 2Recognising Patterns Presentation 3Geometric Patterns Presentation 4Linear Sequence Presentation 5General Laws

Unit 8 Number Sequences Geometric Patterns

Count the number of patio stones for the flower beds below and generalise your results. n = 1 n = 2 n = 3 Number of patio stones =10 Number =17 Number =24

n = 4 n = 5 n = Number of patio stones =31 Number of patio stones = Number of patio stones = 199 Count the number of patio stones for the flower beds below and generalise your results.

We can summarise our results in a table From this we can identify a general rule n Patio Stones Patio stones = 3 + 7n

Unit 8 Number Sequences You have finished viewing: Geometric Patterns Return to front slide Presentation 1Simple Number Patterns Presentation 2Recognising Patterns Presentation 3Geometric Patterns Presentation 4Linear Sequence Presentation 5General Laws

Unit 8 Number Sequences Linear Sequence

The 7 th,8 th and 9 th terms of a sequence are 61, 69 and 77. Find the formula to describe this sequence. Hence find the 100 th term. Find the differences So the sequence is of the form ? ? ? ? ? ?

Find the differences So We find b by using ? ? ? ? ? ? ? ?

Unit 8 Number Sequences You have finished viewing: Linear Sequence Return to front slide Presentation 1Simple Number Patterns Presentation 2Recognising Patterns Presentation 3Geometric Patterns Presentation 4Linear Sequence Presentation 5General Laws

Unit 8 Number Sequences General Laws

Study the number lines and calculate the boxed values. ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?

Unit 8 Number Sequences You have finished viewing: General Laws Return to front slide Presentation 1Simple Number Patterns Presentation 2Recognising Patterns Presentation 3Geometric Patterns Presentation 4Linear Sequence Presentation 5General Laws