Practice - Formula for the π-th Term
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Practice Questions
Test your understanding with targeted questions
Calculate the 4th term of the sequence where a = 2 and r = 3.
π‘ Hint: Use the formula π = ππ^{(π-1)}.
What is the 2nd term of a sequence if a = 5 and r = 2?
π‘ Hint: Apply the n-th term formula.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the formula to find the n-th term of a geometric sequence?
π‘ Hint: Think of how the terms are generated in the sequence.
True or False: The n-th term formula can only be used if the common ratio is greater than 1.
π‘ Hint: Consider how the common ratio impacts the generated terms.
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Challenge Problems
Push your limits with advanced challenges
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.
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.
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