Homework 6 -- Summation Notation

  1. Convert each of the following sums to summation notation:
    1. 7 + 11 + 15 + 19 + ... + 131

    2. 1/1 + 8/2 + 27/3 + 64/4 + ... + 1331/11

    3. 1/1 + 3/10 + 5/100 + 7/1000 + ... + 13/1000000

  2. Do problem 2abc on page 123 of your textbook

  3. Using the appropriate summation formula given below, solve each of the following:
    1. 1 + 8 + 27 + 64 + ... + 64000

    2. 1 + 2 + 4 + 8 + ... + 32768

    3. 1 + 2 + 3 + 4 + ... + 75

    4. 1 + 1/2 + 1/4 + 1/8 + ... + 1/256

    5. 1 + 4 + 18 + 96 + ... + 35280

    6. 1 + 4 + 9 + 16 + ... + 2500

Here is a table of some summation formulas: