write the following series
in sigma. notation
4+13+ 28 +49 +7
b
Answers
Answer:
The Greek letter, sigma, shown above, is very often used in mathematics to represent the sum of a series. It's a nice shorthand notation!! For example ......
is shorthand for the series starting with the first term and ending with the ninth term of 3k. That is as follows:
= 3(1) + 3(2) + 3(3) + 3(4) + 3(5) + 3(6) + 3(7) + 3(8) + 3(9)
The symbol 3k is called the summand, the numbers 1 and 9 are the limits of the summation, and the symbol k is the index. The choice of the letter used for the index is up to you, but must match with the letter used in the summand!
Properties of Infinite Series
This allows you to add the sums one of two ways. You can add the individual terms first and then sum all of them or you can sum the indivdual terms and add the two answers.
This allows you to either multiply each term by c then add the series, or first add the series and then multipy the result by c.
Your job in this section, is to learn to write sigma notation in expanded form and vice versa.
Step-by-step explanation: