Practice - Common Mistakes to Avoid
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Practice Questions
Test your understanding with targeted questions
What is a sequence?
💡 Hint: Think about how the terms are listed.
Define a series.
💡 Hint: Consider what you do with the terms in a sequence.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the main difference between a sequence and a series?
💡 Hint: Consider how you would use both in math.
True or False: The common ratio in a geometric series can be equal to 1.
💡 Hint: Think about how r affects the terms.
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Challenge Problems
Push your limits with advanced challenges
You have the arithmetic series 4, 7, 10, ..., 100. Determine how many terms are in this series before the sum exceeds 200.
💡 Hint: Start calculating using small sample sizes to understand the pattern.
Consider a geometric series where the first term is 5, and the common ratio is 2. How can you express the terms and find their sum up to the 6th term?
💡 Hint: Construct the sequence first and check your counting.
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Reference links
Supplementary resources to enhance your learning experience.