Geometric Sequences (Grade 9)
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Geometric Sequences
1.
If [math]a_1=100[/math] and [math]r=1/2[/math], find the 5th term of this geometric sequence.
- [math]1[/math]
- [math]1600[/math]
- [math]6 1/4[/math]
- [math]10,000[/math]
- none of these are correct
2.
Find the next three terms in this sequence: 5120, 1280, 320, 80...
- -160, -400, -640
- 20, 5, 1.25
- 40, 20, 10
- 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?
- -1,062,882
- -6144
- -354,294
- 12288
4.
Find the tenth term of the geometric sequence if the first term is 5 and the common ratio is 2.
- 1,000,000
- 1,000,000,000
- 2,560
- 25,6000
5.
What is the seventh term of the sequence 24, 12, 6, 3,...?
- 0
- 0.25
- 0.375
- 1.5
6.
What are the fifth and seventh numbers in the sequence [math]1, 6, 36...[/math]?
- [math]216,7776[/math]
- [math]216,1296[/math]
- [math]7776,46656[/math]
- [math]1296,46656[/math]
7.
What is the recursive function of the geometric sequence 3, 4.5, 6.75...?
- [math]f(n)=1.5f(n-1)[/math] where [math]f(1)=3[/math]
- [math]f(n)=3xx1.5^(n-1)[/math]
- [math]f(n)=1.5xx3^(n-1)[/math]
- [math]f(n)=3f(n-1)[/math] where [math]f(1)=1.5[/math]
8.
Which formula represents the general term of the following sequence? [math]1/2, -1, 2, -4, ...[/math]
- [math]a_n = 1/2 * 2^n[/math]
- [math]a_n = 1/2 * (-2)*(n-1)[/math]
- [math]a_n = 1/2 * -2^(n-1)[/math]
- [math]a_n = 1/2 * (-2)^(n-1)[/math]
9.
Find the 12th term in the sequence:
3, 9, 27, 81...
3, 9, 27, 81...
10.
What is the next term in the sequence 16, 4, 1, ... ?
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