One year after Sarah started a new job, she had $1200 in her savings account. Each year, she added $900 more to the savings account.


What function, written in sequence notation, models Sarah’s savings account balance n years after starting her new job?




an=300n+1200


an=900n+300


an=300n+900


an=900n+1200

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]

Answer:

an=900n+300

Step-by-step explanation:

took test