IMO Patterns and Sequences

Question 1

What is the next number in the sequence: 2, 5, 8, 11, 14, ___?

Accepted Answer

17

Answer

15

Answer

16

Answer

18

Question 2

What is the 10th term of the arithmetic sequence 3, 7, 11, 15, ...?

Accepted Answer

39

Answer

38

Answer

40

Answer

43

Question 3

What comes next in the pattern: 1, 4, 9, 16, 25, ___?

Accepted Answer

36

Answer

30

Answer

34

Answer

49

Question 4

Find the missing term: 3, 6, 12, ___, 48

Accepted Answer

24

Answer

18

Answer

20

Answer

30

Question 5

What is the sum of the first 10 terms of the arithmetic sequence 1, 3, 5, 7, ...?

Accepted Answer

100

Answer

90

Answer

110

Answer

120

Question 6

In a geometric sequence, the first term is 2 and the common ratio is 3. What is the 4th term?

Accepted Answer

54

Answer

18

Answer

27

Answer

81