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Math Help - arithmatic sequence question and find the term.

  1. #1
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    arithmatic sequence question and find the term.

    Alright, so first question is: Felicity starts a new job with a salary of 16000 per year. She receives a raise of 850 each year with this company. Calculate her total earnings after fourteen years.

    Im stuck with that and have no idea what to do...

    And the next is finding the term number.

    Determine the value of S19, in other words, 19th term for the following arithmetic series=
    (-10)+(-4)+2+...
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  2. #2
    Member SengNee's Avatar
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    Quote Originally Posted by simplekin View Post
    Alright, so first question is: Felicity starts a new job with a salary of 16000 per year. She receives a raise of 850 each year with this company. Calculate her total earnings after fourteen years.

    Im stuck with that and have no idea what to do...

    And the next is finding the term number.

    Determine the value of S19, in other words, 19th term for the following arithmetic series=
    (-10)+(-4)+2+...

    First year=16000 each month
    Second year=16850 each month
    Third year=17700 each month

    First year= a=16000 x 12
    Second year= T_1=16850 x 12
    Third year= T_2=17700 x 12

    d=T_2-T_1

    n=14

    S_{14}=0.5(14)(2a+13d)




    (-10)+(-4)+2+...

    a=-10
    d=+6
    n=19

    S_{19}=0.5(19)(2a+18d)
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