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].