Worksheet 11 Memo – Patterns, Sequences and Series Quadratic Patterns 1. Given the pattern: 62; 68; a) 62 68
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Preview and Download !• Number patterns can be extended and missing elements found by identifying how the pattern is changing.
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Preview and Download !8. An arithmetic and geometric series both have the same first term, a = 9. The fifth term of the arithmetic series is equal to the second term of the geometric series minus 1. The sum of first three terms of the geometric series is equal to the twenty-eighth term of the arithmetric series. Find the ratio and common difference for each of the series (if the common difference is a whole number)
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Preview and Download !3. Patterns are made of sticks (a) Complete the table for Pattern 4. 4. Here is a pattern of red and yellow squares. (a) Here is a method for working out the number of red squares in each pattern. Complete the method for Pattern 20. (2) (b) Which statements below are true?
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Preview and Download !Determine the number of white squares in the 157th Calculate the largest value of n for which the grey squares. Show that the TOTAL number of squares in the nth pattern. pattern will have less than 613 pattern is always an odd number.
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Preview and Download !7 Number Patterns and Sequences In this unit we consider how number patterns arise, how to find particular patterns and finding the formula for a general term in a sequence. Again, this topic is an important building block in mathematical understanding.
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Preview and Download !P T E L T K¶ A L S O E 1723 33 914 15 99 679 923 1777 77 53 1836 419¶ ¶
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Preview and Download !Practical Number Patterns 2. l).a). With matches make these: b) c). d) f) Draw the shapes in your book. Under each diagram, write how many matches in the bottom row and how many altogether. Make the next two shapes in the pattern and draw them in your book. Under each of these diagrams, write how many matches in the bottom row and how many used in total. Copy the table and put your information ...
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Preview and Download !Patterns and functions – identifying and creating patterns Look around you, can you see a patern? A patern is an arrangement of shapes, numbers or colours formed according to a rule. Paterns are everywhere, you can find them in nature, art, music and even in dance! Paterns can grow or repeat depending on the rule Recognising number paterns is an important part of feeling confident in maths ...
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