Answer:

the length of the 7th bounce would be 159.4323cm

Step-by-step explanation:

to solve the 7th bounce:

Given:

a1 = 300

n = 7

to find r:

r = a2 ÷ a1

r = 270 ÷ 300

r = 9 / 10

to find the 7th term:

the general formula for Geometric Sequence:

an = a1(r)^n-1

a7 = 300 ( 9/10 )^7-1

a7 = 300 ( 9/10 )⁶

a7 = 300 ( 531441/1000000 )

a7 = 159.4323cm

The seventh bounce would be 159.4323cm or 159.4cm if estimated ᱺD