Geometric Sequences Answers
Select the sequences that are geometric.
Which statements describe characteristics of a geometric sequence? Check all that apply.
Sample Response: The sequence representing this situation is 64, 32, 16, 8, 4, 2, 1. The common ratio is 0.5 because only half of the wrestlers remain after each round. There are 7 rounds of matches until there is a single winner. Did your response include the following?the correct sequence with a1 = 64a description of the common ratio, r = 0.5the correct number of rounds, 7
A wrestling tournament begins with 128 competitors. In the first round, each competitor has 1 match against another wrestler. The winner of each match moves on to the next round until there is a winner. Write a sequence in which the terms represent the number of players still in the tournament at the end of each round. Describe the sequence? How many rounds are in the tournament?
The sequence representing this situation is 64, 32, 16, 8, 4, 2, 1. The common ratio is 0.5 because only half of the wrestlers remain after each round. There are 7 rounds of matches until there is a single winner.
The first four terms of a geometric sequence are 108, 36, 12, 4, …What is the common ratio?
A sequence is defined by the following:What is the 4th term?
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Question text not available
First I substituted 121.5 for an, 4 for n, and 3 for r in the general form. Then I solved to find a1 = 4.5. Finally, I substituted 4.5 for a1 and 3 for r in the general form to get an = 4.5 ⋅ 3n−1.
The fish population in a lake decreases by 2% each year.What is the common ratio?
What is a8?4847✔ 16,38465,536
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