AIME Sequences and Series

Question 1

Find the 10th term of the arithmetic sequence 3, 7, 11, 15, …

Accepted Answer

39

Answer

43

Answer

35

Answer

41

Question 2

What is the sum of the first 20 terms of the arithmetic sequence 2, 5, 8, 11, …?

Accepted Answer

610

Answer

590

Answer

630

Answer

570

Question 3

Find the common ratio of the geometric sequence 3, 6, 12, 24, …

Accepted Answer

2

Answer

3

Answer

4

Answer

6

Question 4

Find the 6th term of the geometric sequence 2, 6, 18, …

Accepted Answer

486

Answer

162

Answer

1458

Answer

324

Question 5

What is the sum of the infinite geometric series 4 + 2 + 1 + 1/2 + …?

Accepted Answer

8

Answer

6

Answer

10

Answer

12

Question 6

An arithmetic sequence has first term 5 and common difference -3. Find the sum of the first 10 terms.

Accepted Answer

-85

Answer

85

Answer

-95

Answer

50