Question 798483

This is a arithmetic sequence

A museum purchases a painting for $15,000 the painting increases in value each year by 10 percent of the original price. What is the value of the painting after 10 years?


{{{t[n] = t[1] + (n - 1)d}}}, with:


{{{t[n]}}} being the value of the term being sought


"n" being the term number


{{{t[1]}}} being the 1st term


"d" being the common difference


Be aware that term 1, or {{{t[1]}}} represents its value after year 1, which is $16,500 ($15,000 + 1,500).


As the 10th term is being sought, we have:

{{{t[n] = t[1] + (n - 1)d}}}


{{{t[10] = 16500 + (10 - 1)1500}}}


{{{t[10] = 16500 + 9(1500)}}}


{{{t[10] = 16500 + 13500}}}


Term 10 or {{{highlight_green(t[10] = 30000)}}}, the value of the painting after 10 years.


You can do the check!! 


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