The explicit formula for both the parts are; [tex]a_n = 2. 2 ^{n-1}[/tex] and [tex]a_n = -3. (4) ^{n-1}[/tex].
What is the recursive rule?
A rule is defined such that its definition includes itself.
The recursive form;
[tex]a_n = a_{n-1} . 2\\\\a_1 = 2[/tex]
The common ratio r = 2
First-term a_1 = 2
The explicit formula;
[tex]a_n = a_1 r ^{n-1}[/tex]
[tex]a_n = 2. 2 ^{n-1}[/tex]
The recursive form;
[tex]a_n = a_{n-1} . 4\\\\a_1 = -3[/tex]
The common ratio r = 4
First-term a_1 = -3
The explicit formula;
[tex]a_n = a_1 r ^{n-1}[/tex]
[tex]a_n = -3. (4) ^{n-1}[/tex]
Learn more about the recursive rule and explicit rules here:
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