TMUA Sequences & Series

Question 1

The first term of an arithmetic sequence is 3 and the common difference is 5. What is the 10th term?

Accepted Answer

48

Answer

45

Answer

50

Answer

53

Question 2

In a geometric sequence, the first term is 2 and the common ratio is 3. What is the 5th term?

Accepted Answer

162

Answer

54

Answer

486

Answer

18

Question 3

What is the sum of the first 20 terms of an arithmetic series with first term 4 and common difference 3?

Accepted Answer

650

Answer

620

Answer

680

Answer

700

Question 4

Which of the following sequences is arithmetic?

Accepted Answer

5, 8, 11, 14, ...

Answer

2, 4, 8, 16, ...

Answer

1, 3, 6, 10, ...

Answer

1, 4, 9, 16, ...

Question 5

The nth term of a sequence is given by T_n = 2n² − n + 1. What is the value of T_4?

Accepted Answer

29

Answer

33

Answer

25

Answer

28

Question 6

A geometric series has first term 100 and common ratio 0.5. What is the sum to infinity?

Accepted Answer

200

Answer

150

Answer

250

Answer

100

Question 7

In an arithmetic sequence, the 5th term is 17 and the 9th term is 33. What is the common difference?

Accepted Answer

4

Answer

2

Answer

3

Answer

5