Math 116: Study Guide - Chapter 7

  1. Write the first five terms of the sequence. Two parts. Look at 7.1.1 - 7.1.27*
  2. Simplify the ratio of the factorials: Two parts. Look at 7.1.39 - 7.1.46* (one of these is directly from the text).
  3. Find the sum, given in summation notation. Two parts. Look at 7.1.65 - 7.1.75*
  4. Write the first five terms of the arithmetic sequence: Two parts. Look at 7.2.19 - 7.2.31*
  5. Find the nth partial sum of the arithmetic sequence. Look at 7.2.55 - 7.2.61*
  6. Find the sum of the arithmetic sequence, given in summation notation. Look at 7.2.63 - 7.2.69*
  7. Write the first five terms of the geometric sequence. Look at 7.3.21 - 7.3.25*
  8. Find the nth term of the geometric sequence. Look at 7.3.27 - 7.3.37*
  9. Find the sum of the geometric sequence, given in summation notation. Two parts, one finite, one infinite. Look at 7.3.55 - 7.3.63* and 7.3.81 - 7.3.87*
  10. Evaluate a combination and a permutation. Two parts. Look at 7.5.1 - 7.5.9* and 7.6.25 - 7.6.37*
  11. Find the number of distinguishable permutations of a group of letters. Look at 7.6.47 - 7.6.50.
  12. Use the Binomial Expansion Theorem to expand and simplify the expression. Look at 7.5.17 - 7.5.31*
  13. Find the nth term of a binomial expansion. 7.5.41 - 7.5.47*
  14. Find a closed form for the sum. Look at problems 7.4.19 - 7.4.33
  15. Write the first n rows of Pascal's triangle.

Notes: