Practice - The πth Term Formula
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Practice Questions
Test your understanding with targeted questions
What is the 5th term of the sequence: 2, 4, 6, 8, ...?
π‘ Hint: Use the formula with π = 2, π = 2, and π = 5.
Find the 3rd term of the sequence: 10, 15, 20, ...
π‘ Hint: Identify the first term and common difference.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the formula to calculate the πth term of an arithmetic sequence?
π‘ Hint: Remember the components: first term, common difference, and term position.
True or False: The common difference in an arithmetic sequence can be zero.
π‘ Hint: Think about what happens in a sequence where every term is the same.
1 more question available
Challenge Problems
Push your limits with advanced challenges
An arithmetic sequence has a first term of 7 and a common difference of 3. How many terms are required to reach a term greater than 100?
π‘ Hint: Set up the inequality: 7 + (n - 1) * 3 > 100.
The 9th term of an arithmetic sequence is 45, and the 16th term is 72. Find the first term and the common difference.
π‘ Hint: Use the two equations from the nth term formula to create a system of equations.
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