1.3 Geometric sequences and series

1.3 Geometric sequences and series Quiz

IB Maths: Analysis and Approaches HL: Quiz

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1. Find $u_6$ for the geometric sequence $3, 6, 12, \dots$
- A. 96
- B. 192
- C. 48
- D. 18
2. A geometric sequence has $u_1 = 64$ and $r = \frac{1}{2}$ . Find $S_5$ .
- A. 124
- B. 128
- C. 4
- D. 62
3. $u_2 = 6$ and $u_4 = 54$ with $r > 0$ . Find $u_1$ .
- A. 2
- B. 3
- C. 18
- D. 1
4. A car's value falls by 12% each year. What is the common ratio of the yearly values?
- A. 0.88
- B. 0.12
- C. 1.12
- D. -0.12
5. Evaluate $\sum_{k=1}^{4} 5(-2)^{k-1}$ .
- A. -25
- B. 75
- C. 25
- D. -75