((will award brainliest fast! + many points, ! )

margot is looking at some information for the obstacle course she is interested in completing. the x-coordinate is the number of the obstacle, while the y-coordinate is the average time to complete the obstacle, measured in minutes.

(1, 6.25), (2, 6.875), (3, 7.5625), (4, 8.31875)

margot use an explicit formula to find the average time she will need for the 8th obstacle.

a] f(8) = 1.1(6.25)7; f(8) = 409782
b] f(8) = 6.25(1.1)7; f(8) = 12.179
c] f(8) = 1.1(6.25)8; f(8) = 2561137
d] f(8) = 6.25(1.1)8; f(8) = 13.397

10

step-by-step explanation:

geometric series converge the common ratio r has magnitude less than one.

which is equivalent to

for the example we need

|2-x| < 1

-1 < 2-x   and 2-x < 1

x < 3 and x > 1

we can write that

answer: 1 < x < 3

1a. common ratio r=250/25=10 > 1     diverges

1b.   r=50/100=1/2 converges

when these converge they converge to

where a is the first term.

answer: 200

1c. r=-1   so it's not the case that |r| < 1.     diverges

2a. x is the common ratio so we converge when |x|< 1

2b.   r=-10x / -2 = 5x.

we converge when

|5x| < 1

|x| < 1/5

2c.   r=3-2x

-1 < 3-2x and 3-2x < 1

-4 < -2x and 2 < 2x

x < 2 and 1 < x

1 < x < 2

2d. [/tex] r=-48x^3/12 = 4x^3[/tex]

|4x^3| < 1

|x^3| < \frac 1 4

|x| < 4^{-1/3}

ιт ιѕ 6 6/23

step-by-step explanation:

нσρє ι ¢συℓ∂ нєℓρ уσυ συт