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3. For each number pattern below: i) Describe the pattern. Write the pattern rule. ii) Use a table to find the 12th term. the tothe storestarts iii) Write an expression for the nth term. iv) Use the expression to find the 100th term. NER# a ) 1 , 2 , 3 , 4 , 5 ,... b) 2, 3, 4, 5, 6, ... () 3, 4 , 5, 6 , 7 , ... d) 4, 5, 6, 7, 8 , ... 4. For each number pattern below: Number Strategies i) Write a pattern rule. Justify your rule. ii) Graph the pattern. Use the graph to find the 9th term. iii) Write an expression for the nth term. The product of two iv) Use the expression to find the 60th term. fractions is 7. a ) 2, 4, 6, 8, 10, ... b ) 6, 9, 12, 15, 18, ... Find four different pairs of c) 3, 7, 1 1, 15, 19, ... d) 10, 15, 20, 25, 30, ... fractions that have a product of z 5. Here are two number patterns. 1, 4, 9, 16, 25, ... 4, 8, 16, 32, 64,... Does the number 512 appear in either pattern? Both patterns? Justify your answer. 6. Assessment Focus Here is the beginning of a number pattern. 10, 20, ... a) Extend the pattern in two different ways. b) Describe each pattern. Write a pattern rule for each. c) Write an expression for the nth term for one pattern. d) Can you write an expression for the nth term of the other pattern? Explain. Take It Further 7. For each number pattern below: i) Write a pattern rule. Justify your rule. ii) Find the 15th term. iii) Write an expression for the nth term. iv) Use the expression to find the 30th term. 2 3 4 5 a) 2, 5, 8' 1 1, ... b) 1, 3, 6, 10, 15, ... Reflect Name three ways to describe and extend a number pattern. Which way is the most efficient? Explain. 10.2 Describing Number Patterns 427