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Math Help - Arithmetic Progression or Arithmetic Series Problem

  1. #1
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    Arithmetic Progression or Arithmetic Series Problem

    An employee starts work on 1 January 2000 on an annual salary of $30,000. His pay scale will give him an increase of $800 per annum on the 1 January until 1 January 2015 inclusive. He remains on his salary until he retires on 31 December 2040. How much will he earn during his working life ?

    Full procedure would be really appreciated

    Please help me with this problem
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  2. #2
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    Sum of AP

    Hello creatively12
    Quote Originally Posted by creatively12 View Post
    An employee starts work on 1 January 2000 on an annual salary of $30,000. His pay scale will give him an increase of $800 per annum on the 1 January until 1 January 2015 inclusive. He remains on his salary until he retires on 31 December 2040. How much will he earn during his working life ?

    Full procedure would be really appreciated

    Please help me with this problem
    In year 2000 he earns $30,000

    In year 2001 he earns $(30,000+800)

    In year 2002 he earns $(30,000 + 2 x 800)

    ...

    In year 2015 he earns $(30,000 + 15 x 800)

    Sum this AP, with a = 30,000, d = 800, n = 16 (yes, 16)

    Then add on the amount he earns during the years 2016 to 2040 inclusive (25 years), to find his total earnings.

    Grandad
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