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