Practice - Application Problems
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Practice Questions
Test your understanding with targeted questions
What is the common difference in the arithmetic sequence: 5, 10, 15, 20?
💡 Hint: Subtract the first term from the second term.
If the first term is 2 and the common difference is 3, what is the 4th term?
💡 Hint: Use the nth term formula T = a + (n-1)d.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the common difference in the sequence: 3, 6, 9, 12?
💡 Hint: Check how much you add to move from one term to the next.
True or False: The sum of an arithmetic sequence can be calculated using the formula S_n = n/2 x (a + l).
💡 Hint: Remember the structure of the formula involving the first and last terms.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
You are creating a savings plan that starts with $200 and increases your monthly savings by $50. What will your total savings be after 8 months?
💡 Hint: Apply the sum formula for arithmetic sequences.
A theater has rows where the first row has 15 seats, and each row has twice the seats as the previous one. How many seats are there in 5 rows?
💡 Hint: Recognize this as a geometric series instead.
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