Help pls, For each growth rate find the associated growth factor

(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

b. is true. hope this . happy

1875cm³

step-by-step explanation:

we have a 20 × 20 × 5 container with (what im guessing is a) 5 × 5 × 5 hole in the center. first, we need to calculate the volume of the 20 × 20 × 5 container.

20 × 20 × 5 = 2000cm³

now, we need to calculate the volume of the hole.

5 × 5 × 5 = 125cm³

now to find the area of the container, we take to solid area of the container, and subtract the area of the hole.

2000cm³ - 125cm³ = 1875cm³