Which situation does NOT show causation? A) When there is more protein in an athletes diet, the athlete scores more points in a game.

B) When the student population at a school increases, the number of teachers at the school increases.

C) When the amount of sugar in a quart of apple juice is reduced, there are fewer calories in each serving.

D) When there are more workers on a project, the project is completed in less time.

A

Step-by-step explanation:

Protein does not cause scores

a - base

b - exponent

so,

(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