Answer:
The eight term is, [tex]a_8 = 23[/tex]
Step-by-step explanation:
Arithmetic sequence states that a sequence of numbers such that the common difference between any two succeeding numbers is a constant (d).
The formula for nth term is given by:
[tex]a_n = a+(n-1)d[/tex] where a is the first term , d is the common difference and n is the number of terms.
To find the eighth term(i.e, [tex]a_8[/tex] in the arithmetic sequence defined by
Explicit formula : [tex]a_n = 2n +7[/tex] .....[1]
Substitute n = 8 in equation [1] we have;
[tex]a_8 = 2(8)+7[/tex]
[tex]a_8 = 16+7[/tex]
Simplify:
[tex]a_8 = 23[/tex]
Therefore, the eighth term in the arithmetic sequence defined by the explicit formula is; [tex]a_8 = 23[/tex]