Practice - Counting Solutions to Equations
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions
Define a strictly increasing sequence.
💡 Hint: Think about ordering numbers from smallest to largest.
What is a subsequence?
💡 Hint: You can pick numbers that are not next to each other.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What defines a strictly increasing sequence?
💡 Hint: Think about how a mountain would look in terms of height.
Is it possible to have a strictly decreasing sequence with only two elements?
💡 Hint: Consider two numbers, one larger and one smaller.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Create a sequence with 10 distinct integers and show the largest increasing subsequence.
💡 Hint: Start with the smallest number and find others that fit the increasing condition.
Given the integers 5, 15, 10, 20, generate a strictly decreasing sequence and evaluate its properties.
💡 Hint: What is the largest number? Start there and descend.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.