Question

Can someone help me with this math homework please!

Answer 1

8

Explanation:

Let,

t1 = 27

t2 = 18

t3 = 12

t2 / t1

= 27 / 18

= 3 / 2

t3 / t2

= 18 / 12

= 3 / 2

Common ratio = 3 / 2 = 1.5

t4 = t3 / 1.5

= 12 / 1.5

= 12 x 2 / 3

t4 = 8

For each peak, the ball decreases it's height from the ground by 1 / 1.5 times, Using sequence, we can find the height of ball from the ground for different levels of peaks.

Answer 2

Here, we may use Geometric Progression

The sequence follows as:

27, 18,12,...

The first term (a)= 27

27/18 = 18/12

common ratio = 1.5

Let fourth term be x

Therefore , 12/x = 1.5

=> x= 12/1.5 = 8