Question

22. A house is sliding down a mountain. It moves one inch the first day, two more inches the

Answer 1

The house would have slid 910 yards in 15 days.

What is a Geometric progression?

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($\frac{r^{n} - 1}{r-1}$)

= 1($2^{15}$ - 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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