The mesosphere is the layer of Earth's atmosphere between 50 kilometers and 85 kilometers above

Earth's surface. At a distance of 50 kilometers from

Earth's surface, the temperature in the mesosphere is

-5° Celsius, and at a distance of 80 kilometers from

Earth's surface, the temperature in the mesosphere is

- 80° Celsius. For every additional 10 kilometers

from Earth's surface, the temperature in the

mesosphere decreases by k Celsius, where k is a

constant. What is the value of k?

(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

apex answer is: true.