The explicit formula for the sequence 5,7,9,11,13 is [tex]a_n = 5+ (n-1)2[/tex].
An arithmetic sequence is described by the explicit formula that is;
[tex]a_n = a _1 + (n-1)d[/tex]
Given sequence 5,7,9,11,13
Matching parts of the formulas,
we see that a1 = 5, d = 2.
Putting these values into the explicit formula
[tex]a_n = a _1 + (n-1)d\\\\a_n = 5+ (n-1)2[/tex]
Hence, the explicit formula for the sequence 5,7,9,11,13 is [tex]a_n = 5+ (n-1)2[/tex]
Learn more about explicit rule here:
https://brainly.com/question/12620593
#SPJ1
