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Geometric Sequence Practice
Contributed by: Lindahl
  • 1. 2, 12, 72, 432 ...
A) Both
B) Geometric
C) Arithmetic
  • 2. 4, 6, 8, 10 ...
A) Arithmetic
B) Both
C) Geometric
  • 3. 1, 1/2, 1/4, 1/8 ...
A) Geometric
B) Both
C) Arithmetic
  • 4. 1, 1, 1, 1...
A) Both
B) Arithmetic
C) Geometric
  • 5. 50, 40, 32, 128/5 ...
A) Both
B) Arithmetic
C) Geometric
  • 6. State the Common Ratio of the sequence 1/6, 1, 6, 36
A) 6
B) 1
C) 1/6
D) You tryin' to trick me?? There's NO common ratio!
E) 1/2
  • 7. State the Common Ratio of the sequence 4, 10, 16, 22 ...
A) 6
B) 22
C) You tryin' to trick me?? There's NO common ratio!
D) 1/6
E) 4
  • 8. State the Common Ratio of the sequence 16, 4, 1, 1/4 ...
A) 1/2
B) 1/4
C) 16
D) You tryin' to trick me?? There's NO common ratio!
E) 4
  • 9. Which is the EXPLICIT rule for finding the Nth term of a geometric sequence?
A) nth term = first term plus common difference to times (n-1)
B) nth term = common ratio to the nth power
C) nth term = first term times common ratio the the nth power
D) nth term = first term times common ratio to the (n-1) power
E) nth term = common ratio to the n-1 power
  • 10. Which is the RECURSIVE rule for finding the Nth term of a geometric sequence?
A) nth term is the following term raised to the nth power
B) nth term is just the term before it to the power of the common ratio
C) nth term is just the term before it plus the common ratio, n times.
D) nth term is the first term plus the common ratio to the (n+1) power
E) nth term is just the term before it times the common ratio
  • 11. Find the 10th term of the sequence
    1, 3, 9, 27...
A) 59049
B) 177147
C) 19949
D) 33267
E) 19683
  • 12. Find the 20th term of the sequence
    1000, 500, 250, 125 ...
A) About 19 ten-thousandths
B) In the neighborhood of 1 one-hundredth
C) Can't I just say it's a really small number?!? (No, you can't!)
D) Roughly 15 millionths
E) Pretty close to one half
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