SEQUENCES AND SERIES WORD PROBLEMS Each row in

SEQUENCES AND SERIES WORD PROBLEMS

Each row in a small auditorium has two more seats than the preceding row. Find the seating capacity of the auditorium if the front row seats 25 people and there are 15 rows. Strategy: 1. Write out the first few terms 2. Determine if the sequence is arithmetic or geometric and use the appropriate formulas. 25, 27, 29, …, common difference is 2 so this is arithmetic. We are told we add 2 seats each subsequ We are looking for the seating capacity of the whole auditorium, so we need the sum of all the seats.

You are offered a starting salary of $29, 500, with a guaranteed raise of $1, 500 each year. Find your salary in your 10 th year, and the total amount of compensation you would have received after 10 years. This is an arithmetic problem since you are adding a constant, 1, 500. In your 10 th year you will make $43, 000 Over the course of 10 years, you will have made $362, 500

You are offered a starting salary of $29, 500, with a guaranteed raise of 4. 1% each year. Find your salary in your 10 th year, and the total amount of compensation you would have received after 10 years. This is geometric because you are multiplying by a common ratio (%) In your 10 th year you will make $42, 352. 45 Over the course of 10 years you will make $355, 826. 95

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