Respuesta :

arithmetic sequence formula:

[tex]a_n=a_1+(n-1)d[/tex]

where:

• an: nth term

,

• a1: first term

,

• n: term position

,

• d: common difference

In this case, the common difference is:

12 - 5 = 19 - 12 = 26 - 19 = 7

and the first term is 5. Then for n = 20:

[tex]\begin{gathered} a_{20}=5+(20-1)7_{}_{} \\ a_{20}=138 \end{gathered}[/tex]