Question

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.

Answer 1

We can find the general term of this arithmetic sequence:

`a_n=4000+(n-1)\cdot d`

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

`a_(1=)4000+(1-1)\cdot100=4000`

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

`a_(12)=4000+(12-1)\cdot100\Rightarrow a_(12)=4000+11\cdot100\Rightarrow a^{}_(12)=5100`