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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Calculate the sum of the first 5 terms of the AP: 2, 4, 6, 8, ...
💡 Hint: Use the formula for the sum of the first n terms.
Question 2
Easy
What is the common difference in the AP 5, 10, 15, 20?
💡 Hint: Subtract the first term from the second 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 an AP?
- S_n = (a + l)n/2
- S_n = n(a + l)
- S_n = n(a + d)
- S_n = a + (n - 1)d
💡 Hint: Recall the context we discussed for summation.
Question 2
True or False: The common difference in an AP can be zero.
- True
- False
💡 Hint: Think about the scenarios where terms don’t change.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
A company has a start-up cost of $10,000 and a monthly increase in expenses of $1,500. Calculate the total expenses after the first 12 months using the AP sum formula.
💡 Hint: Break it into first and last terms, and compute stepwise.
Question 2
If the sum of certain months' savings forms an AP starting at $5 with a difference of $2, what will be the total savings after 15 months?
💡 Hint: Identify the sequence from the saved amounts then calculate.
Challenge and get performance evaluation