Respuesta :
Answer:
[tex]a_n=300+900n[/tex]
Step-by-step explanation:
we are given
One year after Sarah started a new job, she had $1200 in her savings account
so, first term is 1200
[tex]a_1=1200[/tex]
Each year, she added $900 more to the savings account
so, common difference is 900
[tex]d=900[/tex]
Since, it is arithematic sequence
so, we can use nth term formula
[tex]a_n=a_1+(n-1)d[/tex]
now, we can plug values
[tex]a_n=1200+(n-1)\times 900[/tex]
[tex]a_n=1200+900n-900[/tex]
[tex]a_n=300+900n[/tex]