Module 6 Quiz
Sequences and Series
Instructions
This quiz contains 15 multiple choice questions covering all topics in Module 6. You need to score at least 70% (11 out of 15 correct) to pass. Select one answer for each question, then click "Submit Quiz" to see your results.
Question 1
Find the 10th term of the arithmetic sequence: 5, 9, 13, 17, ...
Question 2
What is the common difference in the arithmetic sequence: -3, 2, 7, 12, ...?
Question 3
Find the sum of the first 20 terms of the arithmetic sequence with a1 = 3 and d = 4.
Question 4
The explicit formula for an arithmetic sequence is an = 7n - 2. What is the 15th term?
Question 5
Find the 7th term of the geometric sequence: 4, 12, 36, 108, ...
Question 6
What is the common ratio in the geometric sequence: 80, 40, 20, 10, ...?
Question 7
Find the sum of the first 5 terms of the geometric sequence with a1 = 3 and r = 2.
Question 8
Find the sum of the infinite geometric series: 6 + 3 + 1.5 + 0.75 + ...
Question 9
Which infinite geometric series converges?
Question 10
The explicit formula for a geometric sequence is an = 5(2)n-1. What is a4?
Question 11
Evaluate: Σ(2k + 1) from k=1 to 6
Question 12
Write in summation notation: 5 + 10 + 15 + 20 + 25
Question 13
A theater has 25 rows of seats. The first row has 20 seats, and each row has 2 more seats than the previous row. How many seats are in the last row?
Question 14
A bacteria population starts with 200 bacteria and triples every day. How many bacteria will there be after 4 days?
Question 15
A ball is dropped from 16 feet and bounces to 3/4 of its previous height each time. What is the total distance traveled by the ball when it comes to rest?