Sequences and series in modelling

Sequences and series in modelling Quiz

Spec 4.6 · Edexcel A-Level Maths: Quiz

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5 questions, one answer each

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1. A salary of £28 000 rises by 3% each year. What is the salary in year 6 (year 1 is £28 000)?
- A. £33 433
- B. £32 460
- C. £32 200
- D. £33 040
2. Payments are £200 in month 1 and rise by £15 each month. What is the total over 20 months?
- A. £6 000
- B. £5 500
- C. £7 400
- D. £6 850
3. A balance obeys $b_{n+1}=1.01b_n-200$ with $b_1=5000$ . Find $b_3$ .
- A. £4 850.00
- B. £4 648.50
- C. £4 698.50
- D. £4 700.00
4. Which model fits 'the quantity falls by 12% each year'?
- A. Geometric with $r=0.88$
- B. Geometric with $r=0.12$
- C. Arithmetic with $d=-0.12$
- D. Arithmetic with $d=-12$
5. A ball is dropped from 2 m and rebounds to 70% of its previous height each time. Find the total distance travelled (to 3 s.f.), as the number of bounces tends to infinity.
- A. $13.3$ m
- B. $11.3$ m
- C. $4.67$ m
- D. $6.67$ m