TMUA Sequences & Series 3

Question 1

The nth term of a sequence is T_n = 3n − 2. For what value of n does T_n = 46?

Accepted Answer

16

Answer

14

Answer

15

Answer

17

Question 2

The sum of the first n terms of a series is S_n = 2n² + 3n. What is the 5th term?

Accepted Answer

21

Answer

19

Answer

23

Answer

25

Question 3

Three consecutive terms of an arithmetic sequence sum to 30 and their product is 750. What is the middle term?

Accepted Answer

10

Answer

8

Answer

9

Answer

11

Question 4

The first three terms of a geometric sequence are x+2, 3x, and 5x+4. What is the common ratio?

Accepted Answer

2

Answer

1

Answer

3

Answer

4

Question 5

What is the sum of the first 8 terms of the geometric series 3 + 6 + 12 + ...?

Accepted Answer

765

Answer

510

Answer

645

Answer

891

Question 6

The nth term of a sequence is a_n = (−1)^n × n²/2. What is the sum of the first 4 terms?

Accepted Answer

5

Answer

3

Answer

4

Answer

6

Question 7

In a geometric sequence, the sum of the 3rd and 4th terms equals 12 times the first term. What is the common ratio?

Accepted Answer

2

Answer

1

Answer

3

Answer

4