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-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​

Sagot :

MrRoyal

Answer:

1. Add 3

2. Multiply 4

Step-by-step explanation:

Given

[tex](1)\ 1, 4, 7, 10, 13[/tex]

[tex](2)\ 2, 8, 32, 128, 512[/tex]

Required

The rule

[tex](1)\ 1, 4, 7, 10, 13[/tex]

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

The common difference between each term is:

[tex]d = 4 - 1 = 3[/tex]

[tex]d = 7 - 4 = 3[/tex]

[tex]d = 10 - 7 = 3[/tex]

[tex]d = 13 - 10 = 3[/tex]

The above shows that 3 is [tex]added\ to\ each\ term[/tex] to get the next term.

Hence, the rule is: Add 3

[tex](2)\ 2, 8, 32, 128, 512[/tex]

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

The common ratio between each term is:

[tex]r = 8/2 = 4[/tex]

[tex]r = 32/8 = 4[/tex]

[tex]r = 128/32 = 4[/tex]

[tex]r = 512/128 = 4[/tex]

The above shows that 4 [tex]is\ multiplied\ to\ each\ term[/tex] to get the next term.

Hence, the rule is: Multiply 4

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