(i) 4, 6, 1, 10, 14, 5, … (ii) 4, 7, 10, 13, …. Number sequence (i) is a list of numbers without order or pattern. You cannot tell what number comes after 5. Number sequence (ii) has a pattern. Do you observe that each number is obtained by adding 3 to the preceding number (i.e. the number just before it)?

example: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, ... In mathematics, a sequence is an ordered list of objects. Accordingly, a number sequence is an ordered list of numbers that follow a particular pattern.

Using the equation above to calculate the 5 th term: EX: a 5 = a 1 + f × (n-1) a 5 = 1 + 2 × (5-1) a 5 = 1 + 8 = 9. Looking back at the listed sequence, it can be seen that the 5th term, a5, found using the equation, matches the listed sequence as expected.

The first list of numbers does not make a sequence because the numbers lack proper order or pattern. The other list is a sequence because there is a proper order of obtaining the preceding number. The consecutive number is obtained by adding 3 to the preceding integer. Example 2