Mr. Heath is TRYING to grow his hair out! Currently, his hair is 0.25 inches long. Each month, it grows 0.5 inches. His goal is to have hair that is 2.5 inches long. Let x be the number of months that Mr. Heath grows hair. Which of the equations represents Mr. Heath's hair growth journey? *

0.25 + 0.5x = 2.5

Step-by-step explanation:

0.25 = the how long his hair is right now

0.5 = how much it grows each month

X= how many months it takes to reach 2.5 inches of hair

2.5= how long he'd like his hair to be

you have 6 cupcakes

(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