The amount that the home will be worth after 7 years is  $457763.67
Geometric sequence
The geometric sequence is sometimes called the exponential sequence. The formula for calculating the nth term of an arithmetic sequence is expressed as:
Tn = ar^n-1
where
a is the first term = 120,000
r is the common ratio = 150000/120000 = 1.25
Required
7th term
Substitute
T7 = 120,000(1.25)^7-1
T7 = 120,000(1.25)^6
T7 = 120,000(3.8147)
T7 = $457763.67
Hence the amount that the home will be worth after 7 years is  $457763.67
Learn more on geometric sequence here: https://brainly.com/question/1509142
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