Charles places a mirror on the ground 63 feet from the base of a tree. He
walks backwards until he can see the top of the tree in the middle of the
mirror. At that point, Jason's eyes are 6 feet above the ground and he is 9 feet
from the image in the mirror. What is the height of the tree?
O A. 94 feet
69 feet
O C. 42 feet
O D. 54 feet

step-by-step explanation:

because it just is

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week

multiplication is multiplication.   it might feel harder depending on what level of math you are in, but generally it will be the same old stuff, while implementing some new concepts and methods of solving work.