gaokao Mathematics: Sequences and Series

Question 1

In an arithmetic sequence {aₙ}, if a₁ = 3 and the common difference d = 4, what is a₅?

Accepted Answer

19

Answer

15

Answer

17

Answer

16

Question 2

The nth term of an arithmetic sequence is given by aₙ = 2n + 1. What is the common difference?

Accepted Answer

2

Answer

1

Answer

3

Answer

4

Question 3

Find the sum of the first 10 terms of the arithmetic sequence 2, 5, 8, 11, ...

Accepted Answer

155

Answer

145

Answer

165

Answer

175

Question 4

In a geometric sequence {bₙ}, b₁ = 2 and common ratio q = 3. What is b₄?

Accepted Answer

54

Answer

162

Answer

18

Answer

81

Question 5

The first three terms of a geometric sequence are 4, 8, 16. What is b₆?

Accepted Answer

128

Answer

64

Answer

256

Answer

512

Question 6

Find the sum of the first 5 terms of the geometric sequence with b₁ = 1 and q = 2.

Accepted Answer

31

Answer

15

Answer

63

Answer

32

Question 7

For the infinite geometric series 1 + 1/2 + 1/4 + 1/8 + ..., what is the sum?

Accepted Answer

2

Answer

1

Answer

3

Answer

4