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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Find the 3rd term of the sequence 1, 2, 4, 8,...
💡 Hint: Multiply the previous term by the common ratio.
Question 2
Easy
Is 4, 8, 16, 32 a geometric sequence? If yes, what is the common ratio?
💡 Hint: Divide any term by the 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 sequence?
- A sequence formed by addition
- A sequence formed by multiplication
- Neither
💡 Hint: Think about how each term relates to the previous one.
Question 2
If the common ratio (r) is 1, what can we say about the sequence?
- True
- False
💡 Hint: Consider the nature of the sequence with a ratio of 1.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
A bank offers an interest rate of 4% compounded monthly. If you deposit $500, what will the total amount be after 2 years?
💡 Hint: Use the compound interest formula with r adjusted for monthly compounding.
Question 2
The value of a certain investment is described by the geometric sequence: 100, 150, 225,... If this continues, what will the value be after the 10th term?
💡 Hint: Identify a and r, then apply the n-th term formula.
Challenge and get performance evaluation