1) Identify which of the following is a geometric sequence. a) 1, 2, 6, 24, 120, ... b) 81, 27, 9, 3, 1, ... c) 2, 7, 12, 17, ... d) 3, 6, 9, 12, ... 2) What is the rule or equation for the nth term of the geometric sequence 3, 9, 27, 81, ... a) an = 3(3)n-1 b) an = 3n-1 c) an = 3(3)n+1 d) an = 3n+1 3) Which of the following is the 10th term of the geometric sequence 3, 9, 27, 81, ... a) 6 561 b) 19 683 c) 59 049 d) 177 147 4) One term of the geometric sequence is a3 = 2 and the common ratio, r = 2. What is the rule for the nth term? a) an = 1/2 (2)n+1 b) an = 1/2 (2)n-1 c) an = 1/2n+1 d) an = 1/2n-1 5) One term of the geometric sequence is a3 = 2 and the common ratio, r = 2. What is the first 6 terms of the sequence? a) 1/2, 2, 4, 8, 32 b) 1, 2, 4, 8, 16, 32 c) 1, 4, 16, 64, 256, 1024, 4096 d) 1/2, 1, 2, 4, 8, 16 6) Find the first term of the Geometric sequence if the common ratio is 3 and the 6th term is 243. a) 81 b) 243 c) 729 d) 2 187 7) The common ratio and first term of the geometric sequence are 2 and 2 respectively. What is the next 3 three terms of the sequence. a) 4, 6, 8 b) 1, 2, 4, 6 c) 4, 8, 16 d) 2, 8, 32, 64 8) What is the a5 of the geometric sequence 1 , -6, 36, - 216, ... a) 1296 b) -7776 c) 46 656 d) 279 936 9) Which of the following is the common ratio of the geometric sequence 32, 8, 2, 1/2, ... a) 2 b) 4 c) 8 d) 16 10) Which of the following is the common ratio of the geometric sequence 4, 12, 36, 108, ... a) 1/2 b) 1/3 c) 0.25 d) 0.2

Lesson 4 Geometric Sequence

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