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Jose takes a job that offers a monthly starting salary of $4000 and guarantees him a monthly raise of $100 during his first year of training. Find the general term ofthis arithmetic sequence and his monthly salary at the end of his training.

Respuesta :

We can find the general term of this arithmetic sequence:

[tex]a_n=4000+(n-1)\cdot d[/tex]

In this way, we have the following sequence for the first term:

[tex]a_{1=}4000+(1-1)\cdot100=4000[/tex]

For the last term (the last month) (his monthly salary at the end of his training) is:

[tex]a_{12}=4000+(12-1)\cdot100\Rightarrow a_{12}=4000+11\cdot100\Rightarrow a^{}_{12}=5100[/tex]

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