The explicit rule for the arithmetic sequence for the sequence is a(n) = 3n + 2.
It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
We have given:
[tex]\rm a_n=3+a_n_-_1[/tex] and
[tex]\rm a_1=5[/tex]
[tex]\rm a_n-a_n_-_1= 3[/tex]
The above expression represents the common ratio:
d = 3
First term:
a = 5
The explicit rule for the arithmetic sequence:
a(n) = 5 + (n - 1)3
a(n) = 3n + 2
Thus, the explicit rule for the arithmetic sequence for the sequence is a(n) = 3n + 2.
Learn more about the sequence here:
brainly.com/question/21961097
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