Here’s a short homework assignment on proof by indication, to be collected on Wednesday, February 3rd.
Show that \(6^n+4\) is divisible by \(10\) for all \(n \in \mathbb{Z}^+\).
Update: You can download the template from class here.
The Mean Value Theorem
While I’m sure you’ve all written down these questions, you should complete p.1436 questions 7, 10–13, 15 for tomorrow’s lesson.
Binomial Theorem
While I expect you would have copied this question down in class, here’s the question we were looking at on Thursday.
Find the coefficient of \(x^2\) in the expansion of
- \((2-x)(5x+3)^7\)
- \((2-x)^3(5x+3)^7\)
Answers can be checked using the CAS functionality of GeoGebra.
The Binomial Theorem
Complete page 188–190 questions 3adf, 11, 12, 17, 18, 19 for tomorrow’s lesson. (Note that “term independent of x” is another way of referring to the constant term.)
Sequences and Series Test
As discussed this past week, we’ll have a test on Sequences and Series on Tuesday the 19th. In addition to the questions you’ve already done on this material, the following questions should help you prepare for the test.
Pages 200–205 questions 1, 3, 8, 9, 10, 13, 18, 21, 25, 27, 39, 40, 43