Question

Name the rule and list the next three terms in the pattern 10, 18, 26, 34, 42

Answer 1

Given the following sequence:

`10,\text{ 18, 26, 34, 42}`

Observing the given sequence, it appears that the common difference between its two consecutive terms is 8.

42 - 34 = 8

34 - 26 = 8

26 - 18 = 8

18 - 10 = 8

Therefore, we can say that the sequence is Arithmetic and the rule is:

`\text{ A}_n=A_1\text{ + (n - 1)d}`
`\text{ A}_n=10\text{ + (n - 1)(8)}`