In the geometric sequence 2, 6, 18 the common ratio is 3, and the arithmetic sequence 3, 7, 11 has 5th term 19, so this IB sheet opens by reading the ratio and storing a term. The answers record 25, 16, 24 and 5050 among the sequence values.
Key Takeaways
The 5th term of 3, 7, 11, ... is 19 (Q1).
The common ratio of 2, 6, 18, ... is 3 (Q2).
Q6 records 5050 as a sum answer.
Section A: Multiple Choice Questions (1 Mark Each)
Choose the correct option for each question.
1.What is the 5th term of the arithmetic sequence 3, 7, 11, ...?
(a) 19(b) 23(c) 15(d) 21
2.What is the common ratio of the geometric sequence 2, 6, 18, ...?
(a) 2(b) 3(c) 4(d) 6
3.What is the sum of the first 5 terms of 1, 3, 5, 7, 9?
(a) 25(b) 36(c) 20(d) 30
4.What is the sum of the infinite geometric series 8 + 4 + 2 + ...?
(a) 16(b) 14(c) 12(d) ∞
5.What is the 4th term of the geometric sequence 3, 6, 12, ...?
(a) 18(b) 24(c) 21(d) 27
6.What is the sum 1 + 2 + 3 + ... + 100?
(a) 5050(b) 5000(c) 505(d) 5500
Section B: Short Answer Type Questions (2 Marks Each)
Show all steps clearly.
7.Find the 10th term of the arithmetic sequence 5, 8, 11, ...
8.Find the sum of the first 20 terms of 2, 4, 6, ...
9.Find the 6th term of the geometric sequence 5, 10, 20, ...
10.Find the sum of the first 6 terms of 2, 6, 18, ...
11.Find the sum of the infinite geometric series 100 + 50 + 25 + ...
12.Find the sum 1 + 2 + 3 + ... + 40.
13.In an arithmetic sequence the 3rd term is 10 and the 7th term is 22. Find the common difference.
14.The 5th term of a geometric sequence is 32 and the common ratio is 2. Find the first term.
Section C: Numericals & Word Problems (3 Marks Each)
Apply the concepts to solve the problems. Show all working.
15.A salary starts at $30 000 and rises by $800 each year. Find the salary in the 8th year.
16.A ball dropped from 2 m rebounds to 60% of its previous height. Find the height after the 3rd bounce.
17.Amar invests $1000 at 10% interest compounded annually. Find the value of the investment after 3 years.
18.An auditorium has 20 seats in the first row and each row has 3 more seats than the one before. Find the total number of seats in 15 rows.
19.A pendulum swings 1 m and each swing is 80% of the previous swing. Find the total distance the pendulum travels.
20.Lea invests $5000 at 6% per annum compounded quarterly for 2 years. Find the final amount.
Answer Key
1. a) 19
2. b) 3
3. a) 25
4. a) 16
5. b) 24
6. a) 5050
7. Refer to solution guide.
8. Refer to solution guide.
9. Refer to solution guide.
10. Refer to solution guide.
11. Refer to solution guide.
12. Refer to solution guide.
13. Refer to solution guide.
14. Refer to solution guide.
15. Refer to solution guide.
16. Refer to solution guide.
17. Refer to solution guide.
18. Refer to solution guide.
19. Refer to solution guide.
20. Refer to solution guide.
End of Worksheet
People Also Ask
What is the 5th term of 3, 7, 11, ...?
19, option (a) in this worksheet (Q1).
What is the common ratio of 2, 6, 18, ...?
3, option (b) in this worksheet (Q2).
What is the sum of 1 to 100?
5050, option (a) in this worksheet (Q6).
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