SOLUTION: A tuition scale for a state university shows an increase of $1,300 each year. If the initial cost was $21,000, what will the cost of tuition be in twenty three years? Pleas

Question 462233: A tuition scale for a state university shows an increase of $1,300 each year.
If the initial cost was $21,000, what will the cost of tuition be in twenty three years?
Please explain how an arithmetic sequence was applied.
Thank you!
Answer by math-vortex(648) (Show Source): You can put this solution on YOUR website!
A tuition scale for a state university shows an increase of $1,300 each year.
If the initial cost was $21,000, what will the cost of tuition be in twenty three years?
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If a sequence of values follows a pattern of adding a fixed amount from one term to the next, it is referred to as an arithmetic sequence. The number added to each term is constant (always the same). In your problem, the fixed amount is $1,300, the tuition increase. In arithmetic sequences, this is referred to as the common difference.
.
To find the nth term in an arithmetic sequence, we use the formula

.
d = the common difference between each term in the series = $1,300
a[1] = the first term = $21,000
n = the number of terms we're interested in = 23
a[n] = the nth term; in this case, the 23rd term
.
First, we find the 23th term,

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In 23 years, the tuition will be $49,600.
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hope this helps!
Ms.Figgy
math.in.the.vortex

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