Respuesta :

Given data:

The firs term of AP is a=14.

The second term of AP is b=23.

The expression for the common difference is,

d=b-a

Substitute the given values.

d=23-14

=9

The expression for the 80th term is,

[tex]a_{80}=a+79d[/tex]

substitute 14 for a, and 9 for d in the above expression.

[tex]\begin{gathered} a_{80}=14+79(9) \\ =725 \end{gathered}[/tex]

Thus, the 80th term of AP is 725.