Geometric Series Quiz 6 (10 MCQs)

Quiz Instructions

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1. What is the formula for Vn+1 in a geometric recurrence model?

Correct Answer: B) Vn+1 = R * Vn.

2. Find the wrong number in the series: 3, 9, 27, 81, 242

Correct Answer: D) 242.

3. How do you identify a geometric sequence? (Assuming you aren't told in the directions that it's geometric.)

Correct Answer: B) You multiply by a common value, r.

4. Find the sum of the infinite geometric series, if it exists:5 + 4 + 3.2 + 2.56 + .....

Correct Answer: A) 25.

5. What does the recurrence relation V\{n+1\} = RVn represent when R > 1? (a)

Correct Answer: C) Geometric growth.

6. If the first term is 5 and third term is 45, what is the common ratio?

Correct Answer: A) 3.

7. Given the geometric series $5, 15, 45, ..... $

Correct Answer: B) 3.

8. Which sequence is a geometric sequence with a common ratio of 2?

Correct Answer: C) 5, 10, 20, 40, .

9. What KIND of series is this? $1,\ \frac{1}{2},\ \frac{1}{4},\ \frac{1}{8},\ \frac{1}{16}$

Correct Answer: B) Converging.

10. 7.5, 15, 37.5,?, 393.75

Correct Answer: B) 112.5.