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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Calculate the 4th term of the sequence where a = 2 and r = 3.
π‘ Hint: Use the formula π = ππ^{(π-1)}.
Question 2
Easy
What is the 2nd term of a sequence if a = 5 and r = 2?
π‘ Hint: Apply the n-th term formula.
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 formula to find the n-th term of a geometric sequence?
- π = ππ^{(π-1)}
- π = π + π^{(π-1)}
- π = π/π
π‘ Hint: Think of how the terms are generated in the sequence.
Question 2
True or False: The n-th term formula can only be used if the common ratio is greater than 1.
- True
- False
π‘ Hint: Consider how the common ratio impacts the generated terms.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Suppose a car's value depreciates by a common ratio of 0.8 annually. If its current value is $20,000, what will its value be after 5 years?
π‘ Hint: Think about how the common ratio affects the value initially.
Question 2
A company's profits double every quarter. If the starting profit is $10,000, what will the profit be after 8 quarters?
π‘ Hint: You can use the n-th term formula with r = 2.
Challenge and get performance evaluation