# Arithmetic Progression or Arithmetic Series Problem

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• Oct 7th 2009, 04:44 PM
creatively12
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 (Crying)
• Oct 8th 2009, 12:36 AM
Grandad
Sum of AP
Hello creatively12
Quote:

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

Please help me with this problem (Crying)

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