Practice The 𝑛th Term Formula (2) - Arithmetic Sequences - IB 10 Mathematics

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6 sample questions

Question 1.
What is the 5th term of the sequence: 2, 4, 6, 8, ...?
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Use the formula with 𝑎 = 2, 𝑑 = 2, and 𝑛 = 5.
Question 2.
Find the 3rd term of the sequence: 10, 15, 20, ...
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Identify the first term and common difference.
3Question 3.
What is the formula to calculate the 𝑛th term of an arithmetic sequence?
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Remember the components: first term, common difference, and term position.
4Question 4.
True or False: The common difference in an arithmetic sequence can be zero.
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Think about what happens in a sequence where every term is the same.
Question 5.
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?
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Set up the inequality: 7 + (n - 1) * 3 > 100.
Question 6.
The 9th term of an arithmetic sequence is 45, and the 16th term is 72. Find the first term and the common difference.
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Use the two equations from the nth term formula to create a system of equations.

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