Practice Solving Problems Using Geometric Sequences (5)

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9 questions

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6 sample questions

Question 1.
Find the 3rd term of the sequence 1, 2, 4, 8,...
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Multiply the previous term by the common ratio.
Question 2.
Is 4, 8, 16, 32 a geometric sequence? If yes, what is the common ratio?
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Divide any term by the previous term.
3Question 3.
What is a geometric sequence?
- A sequence formed by addition
- A sequence formed by multiplication
- Neither
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Think about how each term relates to the previous one.
4Question 4.
If the common ratio (r) is 1, what can we say about the sequence?
- True
- False
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Consider the nature of the sequence with a ratio of 1.
Question 5.
A bank offers an interest rate of 4% compounded monthly. If you deposit $500, what will the total amount be after 2 years?
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Use the compound interest formula with r adjusted for monthly compounding.
Question 6.
The value of a certain investment is described by the geometric sequence: 100, 150, 225,... If this continues, what will the value be after the 10th term?
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Identify a and r, then apply the n-th term formula.

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