Which of the following could be the dimensions of a rectangular prism with a volume of 60m? Why? Select all that apply. A. 3m * 4m * 5m
B. 3m * 4m * 12m
C. 5m * 6m * 2m
D. 1m * 6m * 10m
E. 1m * 1m * 60 m
F. 4m * 15m * 2m​

(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