# Thread: Arithmetic Progression or Arithmetic Series Problem

1. ## 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

2. ## Sum of AP

Hello creatively12
Originally Posted by creatively12
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

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.