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Mr. Red's first year salary is $30,000 and it increases by $500 each year. What is the
explicit rule for this sequence in simplified form?

Mr Reds first year salary is 30000 and it increases by 500 each year What is the explicit rule for this sequence in simplified form class=

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superabbas999

Answer:

[tex]a_{n} =500(n) + 30,000[/tex]

Step-by-step explanation:

Hey there!

This equasion is correct because [tex]500[/tex] is being multiplied by the multiplyer which is [tex]n[/tex], how many years have gone by

After that The equasion adds [tex]30,000[/tex] because he started with [tex]30,000[/tex].

Answer:

The answer is [tex]a_{n} =500n+29,500.[/tex]

The recursive rule is [tex]a_{n} =a_{n-1} + 500[/tex]; [tex]a_{1}=30,000[/tex]. In other words, the nth term is the previous term + 500. The first term, as given, is a1 = 30,000.

Step-by-step explanation:

The answer is [tex]a_{n} =500n+29,500.[/tex]a_n = 500n + 29,500. It is easy to check: just plug in n = 1, and you'll get the first year's salary = 500•1 + 29,500 = 30,000.

Another way to find it is [tex]a_{n} =30,000+500(n-1)=30,000+500n-500=29,500+500n[/tex].

The recursive rule is [tex]a_{n} =a_{n-1} + 500[/tex]; [tex]a_{1}=30,000[/tex]. In other words, the nth term is the previous term + 500. The first term, as given, is [tex]a_{1}=30,000[/tex].

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