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ANSWER
The explicit formula is :
[tex]a_n = 8+ 3(n - 1)[/tex]
EXPLANATION
The given sequence is
8,11,14,17,20,23,26,...
The first term is
[tex]a_1=8[/tex]
The common difference is
d=11-8
d=3
The explicit formula is given by:
[tex]a_n = a_1 + d(n - 1)[/tex]
We substitute the values to get,
[tex]a_n = 8+ 3(n - 1)[/tex]