Practice Example 2 (2.3) - Finite Series - IB 10 Mathematics – Group 5, Algebra
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Example 2

Practice - Example 2

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the common ratio of the geometric series 1, 2, 4, 8?

💡 Hint: Divide any term by the previous term.

Question 2 Easy

In the geometric series, what is the first term of 3, 9, 27?

💡 Hint: Look for the initial value in the sequence.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is a geometric series?

The sum of a sequence
The product of a sequence
Random values

💡 Hint: Consider what a series represents.

Question 2

True or False: A common ratio in a geometric series can be negative.

True
False

💡 Hint: Think about how values can change in sequences.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A stock's price doubles every year. If it starts at $100, what will be its price after 5 years? Use a geometric series to find the total value.

💡 Hint: Focus on how each year's growth compounds.

Challenge 2 Hard

A virus's population triples every week. If initially, there are 5 bacteria, calculate how many there will be after 4 weeks.

💡 Hint: Each week's population is based on the previous week's by multiplying by 3.

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