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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Find the 6th term of the sequence: 2, 6, 18, 54,…
💡 Hint: Use the formula for the n-th term: T = ar^(n-1).
Question 2
Easy
Is the sequence 1, 3, 9, 27 geometric? Justify.
💡 Hint: Check the ratio of consecutive terms.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is the 4th term in a geometric sequence with a=2 and r=3?
- 6
- 18
- 54
- 162
💡 Hint: Use the n-th term formula.
Question 2
An infinite geometric series converges only if the absolute value of the common ratio is less than 1.
- True
- False
💡 Hint: Remember the condition for convergence.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
A company invests $100,000 in a project that appreciates in value by 8% per year. How much will it be worth in 15 years?
💡 Hint: Apply the compound interest formula.
Question 2
You observe that the size of a certain bacteria population doubles every 4 hours. If you start with a population of 250 bacteria, how large will it be after 24 hours?
💡 Hint: Determine how many doubling periods there are in 24 hours.
Challenge and get performance evaluation