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## Geometric Sequences

1.
If $a_1=100$ and $r=1/2$, find the 5th term of this geometric sequence.
1. $1$
2. $1600$
3. $6 1/4$
4. $10,000$
5. none of these are correct
2.
Find the next three terms in this sequence: 5120, 1280, 320, 80...
1. -160, -400, -640
2. 20, 5, 1.25
3. 40, 20, 10
4. 76, 72, 68
3.
The first term of a geometric sequence is -2 and the common ratio is 3. What is the 12th term of the sequence?
1. -1,062,882
2. -6144
3. -354,294
4. 12288
4.
Find the tenth term of the geometric sequence if the first term is 5 and the common ratio is 2.
1. 1,000,000
2. 1,000,000,000
3. 2,560
4. 25,6000
5.
What is the seventh term of the sequence 24, 12, 6, 3,...?
1. 0
2. 0.25
3. 0.375
4. 1.5
6.
What are the fifth and seventh numbers in the sequence $1, 6, 36...$?
1. $216,7776$
2. $216,1296$
3. $7776,46656$
4. $1296,46656$
7.
What is the recursive function of the geometric sequence 3, 4.5, 6.75...?
1. $f(n)=1.5f(n-1)$ where $f(1)=3$
2. $f(n)=3xx1.5^(n-1)$
3. $f(n)=1.5xx3^(n-1)$
4. $f(n)=3f(n-1)$ where $f(1)=1.5$
8.
Which formula represents the general term of the following sequence? $1/2, -1, 2, -4, ...$
1. $a_n = 1/2 * 2^n$
2. $a_n = 1/2 * (-2)*(n-1)$
3. $a_n = 1/2 * -2^(n-1)$
4. $a_n = 1/2 * (-2)^(n-1)$
9.
Find the 12th term in the sequence:

3, 9, 27, 81...

10.
What is the next term in the sequence 16, 4, 1, ... ?

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