Modelling with sequences and series Quiz

1. A salary starts at £$30\,000$ and rises by £$1200$ each year. What is the salary in year $8$?

• A. £$39\,600$
• B. £$38\,400$
• C. £$37\,200$
• D. £$40\,800$

2. A population of $2000$ grows by $5\%$ per year. How many are there after $5$ years, to the nearest whole number?

• A. $2553$
• B. $2500$
• C. $2431$
• D. $2681$

3. A car loses $20\%$ of its value each year. This is modelled by

• A. an arithmetic sequence with $d=-0.2$
• B. a geometric sequence with $r=0.2$
• C. a geometric sequence with $r=0.8$
• D. an arithmetic sequence with $d=0.8$

4. A ball is dropped from $1$ m and rebounds to half its previous height each time. Find the total distance it travels before it comes to rest.

• A. $2$ m
• B. $1.5$ m
• C. $4$ m
• D. $3$ m

5. Someone saves £$100$ in month $1$, then £$10$ more each month than the month before. How much do they save in total over $12$ months?

• A. £$1860$
• B. £$1710$
• C. £$2220$
• D. £$1200$