Question

PLS HELP!!!
You drop a ball from a height of 1.5 meters. Each curved path has 75% of the height of the previous path.
a. Write a rule for the sequence using centimeters. The initial height is given by the term n = 1.
b. What height will the ball be at the top of the sixth path?

Answer 1

a. since it wants everything in cm, first convert 1.5m to cm. this will be your initial value.

then it's

(initial value)*(0.75)^n

Answer 2

(150)(0.75)^n

Answer 3

@Vocaloid

Answer 4

good

then for b) simply plug in n = 6 to find the height on the sixth bounce

Answer 5

675

Answer 6

hm. you may have made a mistake somewhere. since the ball height is getting smaller we would expect the height to be much less than 150cm not greater

(150)(0.75)^6 = ?

Answer 7

don't forget the exponent ^

Answer 8

26.6?

Answer 9

almost, it's 26.696 so it would round up to 26.7 cm

Answer 10

A(n) = 150 ∙ (75)x − 1; 355,957,031,250 cm


A(n) = 1.5 ∙ (0.75)x − 1; 0.36 cm


A(n) = 150 ∙ (0.75)x − 1; 35.6 cm


A(n) = 0.75 ∙ (1.5)x − 1; 5.7 cm

Answer 11

oh duh I'm silly

since the index starts at n = 1 we have to change the formula to account for this by subtracting 1 from the index

so the formula is 150(0.75)^(n-1) (they use x for some reason)

Answer 12

so plugging in n = 6 into this new formula gives like 36ish cm as the result which is closer to choice C