Answer:
[tex](a)[/tex]
[tex]Pattern: 2187, 729, 243, 81, 27, 9,3, 1[/tex]
[tex](b)[/tex]
[tex]Pattern = 972,324,108,36[/tex]
Step-by-step explanation:
Given [Missing from the question]
[tex]Pattern: 2187, 729, 243, 81[/tex]
Solving (a): Continue the pattern using the divide by 3 rule
To do this, we simply divide the last term by 3, to get the next term.
So, we have:
[tex]81/3 = 27[/tex]
[tex]27/3 = 9[/tex]
[tex]9/3 = 3[/tex]
[tex]3/3 = 1[/tex]
So, the pattern is:
[tex]Pattern: 2187, 729, 243, 81, 27, 9,3, 1[/tex]
Solving (b): 4 terms of a different pattern using the same rule.
Let the first term be: 972
So, the next three terms is:
[tex]972/3 =324[/tex]
[tex]324/3 = 108[/tex]
[tex]108/3 =36[/tex]
So, the pattern is:
[tex]Pattern = 972,324,108,36[/tex]
