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Understanding Salary Calculations and Series Notation

This resource explores salary calculations and the concept of series notation in mathematics. It includes examples of calculating future salaries based on annual raises, such as Allysa's job with a starting salary of $17,600 and Frank's job with a $15,000 salary receiving 4% annual raises. Additionally, it covers types of sequences using sigma notation for concise representation of summation, providing insight into writing series in both expanded form and sigma notation.

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Understanding Salary Calculations and Series Notation

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  1. Warm Up: 4/16/2012 1. Allysa has taken a job with a starting salary of $17,600 and annual raises of $850. What will be her salary during her fifth year on the job? 2. Frank has taken a job with a salary of $15,000 and annual raises of 4%. What will be his salary during his third year on the job?

  2. 11.4 Series and Sigma notation 4/16/12

  3. Types of Sequences • Summation Sign: , A series can be written in an abbreviated form using the Greek letter sigma. • Example: 2+4+6+8+…+100 • Summand: Is the term 2n or the pattern. • Index: n is the index.

  4. EXAMPLE #1 Write in Sigma notation.

  5. Example #2 Write the series in expanded form.

  6. Example #3 Write in sigma notation

  7. Example #4 Write the series in sigma notation

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