Geometric Sequences

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Show your work for each problem.

1.
Which of these is a geometric sequence?
1. a)
2. b)
3. c)
4. d)
2.
What is the common ratio of the sequence ?
3.
In the geometric sequence , what is the next term?
4.
What is the common ratio of ?
1. a)
2. b)
3. c)
4. d)
5.
Find the 6th term of the geometric sequence: ,
6.
Find the 5th term of the sequence
7.
A bacteria colony starts with 500 cells and doubles every hour. How many bacteria are there after 4 hours?
1. a)
2. b)
3. c)
4. d)
8.
Find the 7th term of the sequence
9.
You invest 1000 euros at 10% annual interest. How much will you have after 3 years? (Round to the nearest euro)
10.
A ball is dropped from 128 cm. Each bounce reaches half the previous height. What height does it reach after the 4th bounce?
11.
What is the common ratio of the sequence ?
1. a)
2. b)
3. c)
4. d)
12.
In a geometric sequence, and . Find the common ratio.
13.
Find the first term of a geometric sequence where and .
14.
A car worth 20000 euros depreciates by 15% each year. What is it worth after 4 years? (Round to the nearest euro)
15.
In a geometric sequence, and . Find the first term .
16.
Find the 10th term of the sequence