Practice Formula For The 𝑛-th Term (2) - Geometric Sequences - IB 10 Mathematics

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6 sample questions

Question 1.
Calculate the 4th term of the sequence where a = 2 and r = 3.
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Use the formula 𝑇 = 𝑎𝑟^{(𝑛-1)}.
Question 2.
What is the 2nd term of a sequence if a = 5 and r = 2?
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Apply the n-th term formula.
3Question 3.
What is the formula to find the n-th term of a geometric sequence?
- 𝑇 = 𝑎𝑟^{(𝑛-1)}
- 𝑇 = 𝑎 + 𝑟^{(𝑛-1)}
- 𝑇 = 𝑎/𝑛
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Think of how the terms are generated in the sequence.
4Question 4.
True or False: The n-th term formula can only be used if the common ratio is greater than 1.
- True
- False
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Consider how the common ratio impacts the generated terms.
Question 5.
Suppose a car's value depreciates by a common ratio of 0.8 annually. If its current value is $20,000, what will its value be after 5 years?
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Think about how the common ratio affects the value initially.
Question 6.
A company's profits double every quarter. If the starting profit is $10,000, what will the profit be after 8 quarters?
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You can use the n-th term formula with r = 2.

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