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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.
  1. [math]1[/math]
  2. [math]1600[/math]
  3. [math]6 1/4[/math]
  4. [math]10,000[/math]
  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 [math]1, 6, 36...[/math]?
  1. [math]216,7776[/math]
  2. [math]216,1296[/math]
  3. [math]7776,46656[/math]
  4. [math]1296,46656[/math]
7. 
What is the recursive function of the geometric sequence 3, 4.5, 6.75...?
  1. [math]f(n)=1.5f(n-1)[/math] where [math]f(1)=3[/math]
  2. [math]f(n)=3xx1.5^(n-1)[/math]
  3. [math]f(n)=1.5xx3^(n-1)[/math]
  4. [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]
  1. [math]a_n = 1/2 * 2^n[/math]
  2. [math]a_n = 1/2 * (-2)*(n-1)[/math]
  3. [math]a_n = 1/2 * -2^(n-1)[/math]
  4. [math]a_n = 1/2 * (-2)^(n-1)[/math]
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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