Math 116 - Chapter 7 Study Guide

  1. Write the first five terms of the sequence. Two parts. Look at 7.1.1-22, 29-34
  2. Find the most apparent pattern for the general term of the sequence. Two parts. Look at problems 7.1.51-64
  3. Simplify the ratio of the factorials: Two parts. Look at 7.1.69-78
  4. Find the sum, given in summation notation. Two parts. Look at 7.1.79-90
  5. Write the first five terms of the arithmetic sequence. Look at 7.2.17-20
  6. Find the nth term of the arithmetic sequence. Look at problems 7.2.25-28, 41-44 although these aren't exactly like the problem on the test. After finding the general term for the sequence, you need to plug in the number of the term asked for.
  7. Find the nth partial sum of the arithmetic sequence. Look at 7.2.59-64
  8. Use the formula for the nth partial sum of an arithmetic series to find the sum of the arithmetic sequence, given in summation notation. Look at 7.2.65-78
  9. Write the first five terms of the geometric sequence. Look at 7.3.21-26
  10. Find the nth term of the geometric sequence. Look at 7.3.33-36
  11. Use the formula for the nth partial sum of a geometric series to find the sum of the geometric sequence, given in summation notation. Look at problems 7.3.55-64.
  12. Find the sum of the infinite geometric series. Look at problems 7.3.69-80
  13. Evaluate a combination and a permutation. Two parts. Look at 7.5.13-18 and 7.6.33-38
  14. Find the number of distinguishable permutations of a group of letters. Look at 7.6.43-46
  15. Use the Binomial Expansion Theorem to expand and simplify the expression. Look at 7.5.23-40
  16. Find the nth term of a binomial expansion. 7.5.49-56
  17. Find a closed form for the sum. Look at the take home test. Know the formulas for the sums of the powers of integers from page 530.

Notes:

Points per problem

# 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Total
Pts 6 4 6 6 4 4 4 4 4 4 4 4 4 4 5 4 4 75

Go to Math 116 homepage
Last updated: April 23, 2003 11:47 AM