Practice - General Form - 2.2
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions
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].
Identify whether the sequence 3, 6, 12, 24 is arithmetic or geometric.
💡 Hint: Check if each term is multiplied by a constant ratio.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the formula for the sum of an arithmetic series?
💡 Hint: Remember the structure of S_n.
True or False: The common ratio in a geometric series can equal 1.
💡 Hint: Think about how terms would behave if r = 1.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
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.
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.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.