Math 116: Study Guide - Chapter 7
- Write the first five terms of the sequence. Two parts. Look at 7.1.1-22, 29-34
- Simplify the ratio of the factorials: Two parts. Look at 7.1.69-78
- Find the sum, given in summation notation. Two parts. Look at 7.1.79-90
- Write the first five terms of the arithmetic sequence: Two parts. Look at 7.2.17-28
- Find the nth partial sum of the arithmetic sequence. Look at 7.2.59-64
- Find the sum of the arithmetic sequence, given in summation notation. Look at 7.2.65-78
- Write the first five terms of the geometric sequence. Look at 7.3.11-26
- Find the nth term of the geometric sequence. Look at 7.3.27-36
- Find the sum of the geometric sequence, given in summation notation. Two parts, one finite, one infinite. Look at
7.3.55 -64 and 7.3.69-80
- Evaluate a combination and a permutation. Two parts. Look at 7.5.13-18 and 7.6.33-38
- Find the number of distinguishable permutations of a group of letters. Look at 7.6.43-46
- Use the Binomial Expansion Theorem to expand and simplify the expression. Look at 7.5.23-40
- Find the nth term of a binomial expansion. 7.5.49-56
- Find a closed form for the sum. Look at the take home test
- Write the first n rows of Pascal's triangle.
- You may bring in a set of note cards with the following formulae:
- Arithmetic Sequences / Series: Common Difference, General Term, Sum of the first n terms (two formulas)
- Geometric Sequences / Series: Common Ratio, General Term, Sum of the first n terms, Sum of an infinite series
- Sum of the powers of the integers (1, n, n^2, n^3, n^4, n^5) - see page 530
- Formula for combination, permutation, and distinguishable permutations
- It would be wise to put each section of notes on a separate card, rather than trying to cram too much onto one card.
Write large enough it's legible, and check for accuracy.
- The Binomial Expansion Theorem may NOT be on a note card.
- Because of the time it will take to work a mathematical induction problem, the mathematical induction problems have
been moved to a take home test.
- The in-class portion of the test will be worth 75 points, the take-home portion of the test will be worth 25 points.
- The take-home portion of the test will be due on the day of the chapter exam.