Practice Solving Problems Using Geometric Sequences (5) - Geometric Sequences
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Solving Problems Using Geometric Sequences

Practice - Solving Problems Using Geometric Sequences

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Find the 3rd term of the sequence 1, 2, 4, 8,...

💡 Hint: Multiply the previous term by the common ratio.

Question 2 Easy

Is 4, 8, 16, 32 a geometric sequence? If yes, what is the common ratio?

💡 Hint: Divide any term by the previous term.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is a geometric sequence?

A sequence formed by addition
A sequence formed by multiplication
Neither

💡 Hint: Think about how each term relates to the previous one.

Question 2

If the common ratio (r) is 1, what can we say about the sequence?

True
False

💡 Hint: Consider the nature of the sequence with a ratio of 1.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A bank offers an interest rate of 4% compounded monthly. If you deposit $500, what will the total amount be after 2 years?

💡 Hint: Use the compound interest formula with r adjusted for monthly compounding.

Challenge 2 Hard

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?

💡 Hint: Identify a and r, then apply the n-th term formula.

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