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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the common ratio of the geometric series 1, 2, 4, 8?
💡 Hint: Divide any term by the previous term.
Question 2
Easy
In the geometric series, what is the first term of 3, 9, 27?
💡 Hint: Look for the initial value in the sequence.
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?
- The sum of a sequence
- The product of a sequence
- Random values
💡 Hint: Consider what a series represents.
Question 2
True or False: A common ratio in a geometric series can be negative.
- True
- False
💡 Hint: Think about how values can change in sequences.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
A stock's price doubles every year. If it starts at $100, what will be its price after 5 years? Use a geometric series to find the total value.
💡 Hint: Focus on how each year's growth compounds.
Question 2
A virus's population triples every week. If initially, there are 5 bacteria, calculate how many there will be after 4 weeks.
💡 Hint: Each week's population is based on the previous week's by multiplying by 3.
Challenge and get performance evaluation