The house would have slid 910 yards in 15 days.
A geometric progression is a sequence in which successive terms differ by a common ratio.
It is a sequence in which the ratio of two consecutive terms is a constant.
Analysis:
first term, a= 1
second term, ar = 2
third term, ar^2= 4
common ratio = ar/a = 2/1 = 2
Sum of the G.P where n = 15
sum of G.p = a([tex]\frac{r^{n} - 1}{r-1}[/tex])
= 1([tex]2^{15}[/tex] - 1)/2 - 1 = 32768 - 1 = 32768 inches
converting the inches to yard, where 1 yard = 36 inches
so 32768/36 = 910 yards
In conclusion, the house would slide 910 yards in 15 days.
Learn more about Geometric progression: brainly.com/question/12006112
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