+ This is the introduction to the activity. +
++ This is the first exercise. +
++ These activities are designed to be used in class to help students understand the material. They are not graded, but students are encouraged to work on them in groups and ask the instructor for help when needed. +
++ This is the introduction to the activity. +
++ This is the first exercise. +
++ You have traded your cow for 5 magic chocolate covered espresso beans. + Each night at midnight, each bean splits into three beans. + To take advantage of this, you eat 8 beans each morning for breakfast. + You wonder how many beans you will have after breakfast 30 days after you traded your cow. +
+ +
+ Let
+ Write out the first few terms of the sequence. + Then give a recursive definition for the sequence and explain how you know it is correct. +
++ What do you notice about all elements of the sequence? Will they all be ...? Prove your conjecture by mathematical induction. +
+
+ Find a closed formula for
This book was authored in
+ The following notes are intended to remind you what we covered each week. They are not a substitute for attending class and not a substitute for reading the textbook. +
++ This week we covered the following topics: +
+ ++ This week we covered the following topics in the second week. +
+ +Welcome to the course.
+ + +This course is about magic beans. And about how bad copilot is at writing syllabi.
+This course has no grades because it is just a demo.
+