Answer:
[tex]a_n=115+8n[/tex]
Step-by-step explanation:
We are given
Jose averaged 123 total pins per game in his bowling league this season
so, first term is 123
He is taking bowling lessons and hopes to bring his average up by 8 pins each new season
so, common difference is 8
now, we can use nth term arithematic sequence formula
[tex]a_n=a_1+(n-1)d[/tex]
where
an is nth term
a1 is first term
d is common difference
n is number of seasons
so, we get
[tex]a_1=123[/tex]
[tex]d=8[/tex]
now, we can plug these values into formula
[tex]a_n=123+(n-1)8[/tex]
now, we can simplify it
[tex]a_n=115+8n[/tex]
