gamerdoesart
contestada

Please help! Will give Brainliest!

You drop a ball from a height of 1.5 meters. Each curved path has 74% 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?

A(n) = 150 • (74)n–1 ; 332,850,993,600 cm

A(n) = 150 • (0.74)n–1 ; 33.29 cm

A(n) = 1.5 • (0.74)n–1 ; 0.33 cm

A(n) = 0.74 • (1.5)n–1 ; 5.62 cm

Respuesta :

I think it's the 3rd one going down. The A(n) = 1.5 • (0.74)n-1 ; 0.33 cm

Answer: Second option is correct.

Step-by-step explanation:

Since we have given that

Height of ball = 1.5 meters = 150 cm

Each curved path has 74% of the height of the previous path.

so, r = 74% = 0.74

Since initial height is n = 1.

As it form Geometric series.

So, the general equation would be

[tex]A(n)=ar^{n-1}\\\\A(n)=150(0.74)^{n-1}[/tex]

We need to find the height of the ball at the top of the sixth path .

So, n= 6,

So, it becomes,

[tex]A(6)=150(0.74)^{6-1}=150(0.74)^5=33.285\approx 33.29\ cm[/tex]

Hence, Second option is correct.

Otras preguntas