1.3 Geometric sequences and series Quiz

1. The geometric sequence $3,6,12,\ldots$ continues. Find $u_8$.

• A. $768$
• B. $384$
• C. $192$
• D. $24$

2. Find the sum of the first 5 terms of $2,6,18,\ldots$.

• A. $162$
• B. $486$
• C. $728$
• D. $242$

3. A salary of 30 000 AED rises by 5% each year. What is the salary in year 6?

• A. $38\,288.45$ AED
• B. $40\,202.87$ AED
• C. $37\,500.00$ AED
• D. $31\,500.00$ AED

4. A geometric sequence has $u_2=12$ and $u_5=96$. Find $r$.

• A. $8$
• B. $4$
• C. $2$
• D. $6$

5. A population falls by 8% each year. What is the common ratio?

• A. $0.08$
• B. $0.92$
• C. $1.08$
• D. $-0.08$