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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 15 terms of the arithmetic series: 5 + 10 + 15 + ...
💡 Hint: Use the formula S_n = (n/2) * [2a + (n-1)d].
Question 2
Easy
Identify whether the sequence 3, 6, 12, 24 is arithmetic or geometric.
💡 Hint: Check if each term is multiplied by a constant ratio.
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 an arithmetic series?
💡 Hint: Remember the structure of S_n.
Question 2
True or False: The common ratio in a geometric series can equal 1.
- True
- False
💡 Hint: Think about how terms would behave if r = 1.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
If the sum of the first n terms of an arithmetic series is 120, and the first term is 5 with a common difference of 3, determine n.
💡 Hint: Use the arithmetic sum formula to set up an equation.
Question 2
A company doubles its profits every year, starting with $1000. Find the total profits over the first 5 years and the profit in year 5.
💡 Hint: Recognize it as a geometric series with a common ratio of 2.
Challenge and get performance evaluation