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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Identify whether the following sequence is geometric: 3, 9, 27, 81.
💡 Hint: Check if multiplying previous term gives the next term.
Question 2
Easy
Find the first term and common ratio of the sequence 4, 12, 36.
💡 Hint: Divide a term by its previous term.
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 a geometric series?
💡 Hint: Focus on the concept of summation.
Question 2
The common ratio in a geometric series must be greater than 0. True or False?
- True
- False
💡 Hint: Consider examples of geometric sequences with negative ratios.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
A computer program doubles its speed every year. If it starts at 2 GHz, how fast will it be after 10 years? Use the concept of geometric sequences to derive your answer.
💡 Hint: Use the first term and common ratio to calculate the final speed using the formula.
Question 2
An investment of $1,000 grows by 5% each year. How much will it be worth after 20 years? Solve it using the geometric series approach.
💡 Hint: Think of how the investment repeats the multiplication process year after year.
Challenge and get performance evaluation