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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Find the sum of the first 3 terms of the sequence: 1, 3, 9.
π‘ Hint: Use the sum formula and identify a and r.
Question 2
Easy
What is the first term in the series if a = 4 and r = 2?
π‘ Hint: Recall that 'a' represents the first 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 the formula for the sum of the first n terms of a geometric series?
π‘ Hint: Remember the condition under which this formula applies.
Question 2
True or False: The common ratio can equal 1 for the finite series sum formula to work.
- True
- False
π‘ Hint: Think about what happens to the formula when r is 1.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
An investment of $500 grows at an annual interest rate of 7%. Calculate how much the investment will be worth after 10 years.
π‘ Hint: Use the geometric growth formula for compound interest.
Question 2
A bacterial culture grows threefold every hour, starting with 50 bacteria. How many will there be after 6 hours?
π‘ Hint: This relates to the geometric series where r = 3 and n = 6.
Challenge and get performance evaluation