Respuesta :

Answer:

[tex]a_n=50+(n-1)30[/tex]

Step-by-step explanation:

Given series is,

50,80,110....

First term, a = 50

Common difference, d = 80-50 = 30

We need to find the nth term of the given sequence.

The nth term of an AP is given by :

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

Put a = 50 and d = 30 in the above formula

[tex]a_n=50+(n-1)30[/tex]

Hence, the nth term of the sequence is [tex]a_n=50+(n-1)30[/tex].