8.2 Summation Notation

Consider the following series:

The general term is 1 / n², with the index n beginning with a value of 1 in the first term.

This series can be represented more compactly using summation notation as

The Greek letter ‘sigma’ denotes a sum. In this example, the index, n, begins with a values of 1 and continues indefinitely.

Exercise 8.2.1

Rewrite the finite series using summation notation:

Solution

Exercise 8.2.2

Calculate the value of the sum

Solution

Exercise 8.2.3

Calculate the value of the sum

Solution

Exercise 8.2.4

Write the following as a single sum:

Solution

Exercise 8.2.5

Write the following as a single sum:

Solution

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