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?

In complete sentences, explain how an arithmetic sequence was applied

Question

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? 

In complete sentences, explain how an arithmetic sequence was applied

parthkohli · Answer

Oh this one is easy :)

parthkohli · Answer

This is an arithmetic sequence which goes like 21,000 ; 22,300 ; 23,600 and so on.

parthkohli · Answer

If you notice, this is more like an arithmetic sequence with $a_1$ as 21,000 and difference as $1,300$.

parthkohli · Answer

Using the formula $a_n = a_1 + ( n - 1)d$, we can say that the money after 23 years would be $a_{23} = 21000 + 1300( 23 - 1)$

anonymous · Answer

ok but how wuld i solve it from there?

parthkohli · Answer

$ \color{Black}{\Rightarrow a_{23} = 21000 + 1300(22) }$

$ \color{Black}{\Rightarrow a_{23} = 21000 + 28600 }$

Add them

anonymous · Answer

i got 49600

parthkohli · Answer

Correct :D