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Geometric Sequences Assignment
Answer: 2 3 4
Answer: 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.
Question: The first four terms of a geometric sequence are 108, 36, 12, 4, …
What is the common ratio?
The fish population in a lake decreases
by 2% each year.
Question: Given the geometric sequence:
-880, -220, -55, …
The next term in the sequence is
The 700th term in a geometric sequence is 20. If the common ratio of the sequence is 0.25, what is the 699th term?
Question: A sequence is defined by the following:
What is the 4th term?
an = 4n - 1
What is a1?
What is a8?
Question: Which formula can be used to find the nth term of the following geometric sequence?
Answer: 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.