The average time that Margot will need for the 8th obstacle is f(8) = 6.25(1.1)7; f(8) = 12.179.
Not that the values are:
(1, 6.25), (2, 6.875), (3, 7.5625), (4, 8.31875)
Where r= 1.1
And f(1) = 6.25 and thus this act as the starting or beginning number.
Because we have to multiply each number by 1.1, therefore, we use Geometric Explicit Formula which is:
f(n)= f(1) x r ^n-1
f(8) = 6.25 x 1.1 ^(8-1)
f(8) = 6.25 x 1.1 ^7
f(8) = 6.25 x 1.9487171
Therefore, f(8) = 12.179
So we can say that the average time that Margot will need for the 8th obstacle is f(8) = 6.25(1.1)7; f(8) = 12.179.
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