Geometric series

Geometric series Quiz

Spec D5 · AQA A-Level Maths: Quiz

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5 questions, one answer each

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1. Find the $8$ th term of $3,6,12,\dots$
- A. $192$
- B. $384$
- C. $768$
- D. $48$
2. Find the sum to infinity of $8+4+2+\dots$
- A. $12$
- B. $8$
- C. $32$
- D. $16$
3. For which values of $x$ does $1+2x+(2x)^2+\dots$ converge?
- A. $|x|<\frac12$
- B. $|x|<2$
- C. $|x|<1$
- D. $x<\frac12$
4. Find the sum of the first $5$ terms with $a=5$ and $r=2$ .
- A. $160$
- B. $315$
- C. $155$
- D. $75$
5. A geometric series has $a=12$ and $S_\infty=48$ . Find $r$ .
- A. $\frac14$
- B. $\frac34$
- C. $\frac13$
- D. $\frac23$