Question

-A sequence is a list of numbers or obje

What is a pattern?
-A pattern is a repetitive sequence and
numbers and almost everywhere you ca
What's More
A. Directions: Give the pattern rule of t
Rul
1. 1, 4, 7, 10, 13
2.2, 8, 32, 128, 512
Rul​

Answer 1

1. Add 3

2. Multiply 4

Explanation:

Given

`(1)\ 1, 4, 7, 10, 13`

`(2)\ 2, 8, 32, 128, 512`

Required

The rule

`(1)\ 1, 4, 7, 10, 13`

This is a linear function because successive terms have a common difference

The common difference between each term is:

`d = 4 - 1 = 3`

`d = 7 - 4 = 3`

`d = 10 - 7 = 3`

`d = 13 - 10 = 3`

The above shows that 3 is
`added\ to\ each\ term` to get the next term.

Hence, the rule is: Add 3

`(2)\ 2, 8, 32, 128, 512`

This is a geometric function because successive terms have a common ratio

The common ratio between each term is:

`r = 8/2 = 4`

`r = 32/8 = 4`

`r = 128/32 = 4`

`r = 512/128 = 4`

The above shows that 4
`is\ multiplied\ to\ each\ term` to get the next term.

Hence, the rule is: Multiply 4