Question

A tuition scale for a state university shows an increase of $1,100 each year. If the initial cost was $27,000. What will the cost of tuition be in twenty two years? In complete sentences, explain how an arithmetic sequence was applied?

Answer 1

The equation to solve the problem "What will the cost of tuition be in twenty two years?" would be 27,000 + 20(1100). 20(1100) shows the amount of total increase over the time of 20 years and 27,000 is the current tuition. Therefore adding the increase over the time of 20 years and 27,000 would answer the question "What will the cost of tuition be in twenty two years?".

Answer 2

wait, so how do you turn that into a arithmetic sequence ?

Answer 3

hm. well basically the 'sequence' (or arithmetic sequence since it follows a pattern of adding 1100 from the previous number) is 27000, 28100, 29200, 30300, and so on.

Answer 4

ok