Question

Use roster notation to write the following set:

a) {1, 6, 11, 16, ...}
b) {2, 7, 12, 17, ...}
c) {3, 8, 13, 18, ...}
d) {4, 9, 14, 19, ...}

Answer 1

To write the given sets in roster notation, use three dots (...) to represent a pattern.

Step-by-step explanation:

To write the given sets in roster notation:

a) {1, 6, 11, 16, ...}

b) {2, 7, 12, 17, ...}

c) {3, 8, 13, 18, ...}

d) {4, 9, 14, 19, ...}

In roster notation, we list the elements of the set in braces and use three dots (...) to represent a pattern. For example, a) can be written as {1, 6, 11, 16, ...}. This means that the set starts with 1, and each subsequent number is obtained by adding 5 to the previous number.

Roster notation is one of the most simple techniques to represent the elements of a set. A comma-separated list of elements written within a pair of curly brackets is called the roster notation.

The roster method is defined as a way to show the elements of a set by listing the elements inside of brackets. An example of the roster method is to write the set of numbers from 1 to 10 as {1, 2, 3, 4, 5, 6, 7, 8, 9 and 10}.