AMC12 Sequences & Series

Question 1

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

Accepted Answer

39

Answer

43

Answer

41

Answer

37

Question 2

What is the sum of the first 20 positive integers?

Accepted Answer

210

Answer

200

Answer

190

Answer

400

Question 3

What is the common ratio of the geometric sequence 2, 6, 18, ...?

Accepted Answer

3

Answer

4

Answer

2

Answer

6

Question 4

What is the sum to infinity of 1 + 1/2 + 1/4 + ...?

Accepted Answer

2

Answer

4

Answer

1

Answer

infinity

Question 5

The 5th term of an arithmetic sequence is 17 and the 10th term is 32. What is the common difference?

Accepted Answer

3

Answer

5

Answer

2

Answer

4

Question 6

What is the sum of the infinite geometric series 3 + 1 + 1/3 + ...?

Accepted Answer

9/2

Answer

3

Answer

4

Answer

6