5.4 - Sum of First n Terms of an AP
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Practice Questions
Test your understanding with targeted questions
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.
What is the common difference in the AP 5, 10, 15, 20?
💡 Hint: Subtract the first term from the second term.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the formula for the sum of the first n terms of an AP?
💡 Hint: Recall the context we discussed for summation.
True or False: The common difference in an AP can be zero.
💡 Hint: Think about the scenarios where terms don’t change.
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Challenge Problems
Push your limits with advanced challenges
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.
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.
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