Study Guide and Intervention

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1 NAME DATE PERIOD Study Guide and Intervention Sequences An arithmetic sequence is a list in which each term is found by adding the same number to the previous term. 2, 5, 8, 11, 14, A geometric sequence is a list in which each term is found by multiplying the previous term by the same number. 2, 6, 18, 54, Describe the pattern in the sequence and identify the sequence as arithmetic, geometric, orneither. 4, 8, 12, 16, 4, 8, 12, 16, Each term is found by adding 4 to the previous term. This sequence is arithmetic. Describe the pattern in the sequence and identify the sequence as arithmetic, geometric, orneither. 1, 5, 25, 125, 1, 5, 25, 125, Each term is found by multiplying the previous term by 5. This sequence is geometric. Lesson 1 7 Write the next three terms of the sequence 20, 40, 80, 160,. 20, 40, 80, 160,. Each term is two times the previous term Continue the pattern to find the next three terms ,280 The next three terms are 320, 640, and 1,280. Describe the pattern in each sequence and identify the sequence as arithmetic, geometric, or neither. 1. 2, 4, 6, 8, 2. 6, 12, 24, 48, 3. 1, 2, 4, 8, 4. 4, 7, 10, 13, 5. 1, 1, 2, 3, 5, 6. 4, 4, 4, 4, Write the next three terms of each sequence. 7. 3, 6, 9, 12, 8. 2, 6, 18, 54, , 0.4, 0.8, 1.6, , 20, 30, 40, 11. 1, 4, 16, 64, , 6.5, 8.5, 10.5, Glencoe/McGraw-Hill 31 Mathematics: Applications and Concepts, Course 2

2 MATH-7 Sequences Exam not valid for Paper Pencil Test Sessions [Exam ID:2FN157 1 Look at the table. Which sequence follows the variable expression 2n? A Sequence 3 B Sequence 2 C Sequence 4 D Sequence 1 2 Look at the table. Which sequence follows the variable expression n - 13? A Sequence 3 B Sequence 4 C Sequence 2 D Sequence 1 3 What is the common difference for the following sequence? A -4 B 4 C 3 D 1 2 6, 2, -2, -6,...

3 4 Look at the table. Which sequence has a common ratio of 2? A Sequence 1 B Sequence 2 C Sequence 4 D Sequence 3 5 Look at the table. x Which sequence follows the variable expression? 3 A Sequence 2 B Sequence 1 C Sequence 3 D Sequence 4 6 Look at the table. Which sequence follows the variable expression x - 99? A Sequence 4 B Sequence 3 C Sequence 1 D Sequence 2

4 7 Which expression describes the relationship between two consecutive terms in the following sequence? 5, - 10, 20, - 40, A n 2 B -5n C -2n D n + (-5) 8 Select all three correct answers. Identify three sequences that have a common ratio of , -28, -56, -112, , 1, 2, 4,... 63, 65, 67, 69,... 16, 18, 20, 22,... 5, -10, 20, -40, 5, 10, 20, 40, 9 Look at the following sequence: 18, 25, 32, 39,... If n represents a term in the sequence, which variable expression can be used to determine the next term in the sequence? A 7n B n + 7 C n + (-7) D n 7

5 10 What is the common ratio in the sequence shown below? 6561, 729, 81, 9,... A 9 B C 1 9 D Look at the following sequence: 14641, 1331, 121, 11,... If n represents a number in the sequence, which variable expression describes the relationship between the terms in the sequnce? A 11n B n + (-11) 1 C n D n Which sequence is arithmetic? A 16, 8, 4, 2,... B 2, 4, 7, 11,... C 9, 15, 21, 27,... D 3, 6, 10, 15, Which sequence is geometric? A -2, -5, -8, -11,... B 6, 2, - 2, - 6,... C 1, 10, 100, 1000,... D - 20, - 10, 0, 10, Type your answer in the box. What is the common difference in the following sequence? -2, -5, -8, -11,

6 15 Which statement is true about the pattern shown? 6, 24, 96, 384,... A The common ratio is 18. B The common difference is 18. C The common ratio is 4. D The common difference is Which variable expressions could represent a geometric sequence. n n n + 3 n n 3n 17 Look at the following sequence: 1024, 256, 64, 16,... Which of the following best describes this sequence? A Exponential sequence B Geometric sequence C Arithmetic sequence D Subtraction sequence 18 Directions: Click on a box to choose each statement you want to select. You must select all true statements. Identify all of the following that represent a geometric sequence. 6, 12, 24, 48,... 2, 18, 34, 50, , 72, 24, 8,... 12, 5, -2, -9,... 27, 9, 3, 1,... 3, 8, 13, 18, Which statement is true about the pattern shown? A The common ratio is 4. B The common ratio is 15. C The common difference is 4. D The common difference is 15. 5, 20, 80, 320,...

7 20 Directions: Click and drag each statement to the correct box. Match each variable expression to the sequence that best describes it. n+3 2n 5n n n 21 Let n represent any number in this sequence. 2, 24, 46, 68,... Which of these can be used to determine the next number? n A 12 B 12n C n + 22 D n According to the variable expressions y + 8, which pattern below would match this expression? A 1, 8, 64, 512,... B 1, 9, 81, 729,... C 7, 15, 23, 31,... D 8, 16, 25, 35,...

8 23 Click on a box to choose each statement you want to select. You must select all correct answers. Select all the statements that are true = = 2 8 = 8-3 = = = Which of the following sequences has a common ratio of -3? A -3, 9, -27, 81 B -1, -3, -9, -27 C 0,-3, -6, -9 D 30, 27, 24, Which expression describes the relationship between two consecutive terms in the following sequence? 100, 50, 25, A B C D