Respuesta :

Answer:

[tex]a_{n} = 6n-1[/tex]

Step-by-step explanation:

The formula is: [tex]a_{n}= a_{1}+d (n-1)[/tex]

where n is every [tex]n^{th}[/tex] term

substitute in [tex]a_{1}[/tex] which is 5 and d which equals 6.

d=6 because that's the difference between each number.

so [tex]a_{n} = 5 +(6)(n-1)[/tex]

[tex]a_{n} = 5 + 6n +6[/tex]

[tex]a_{n} = 6n-1[/tex]