Sam can ride his bike 4.5 kilometers in 9 minutes, and amanda can ride her bike 3.6 kilometers in 6 minutes. which rider might go farther in 1 minute

Sam 4.5 km / 9 minutes = .5 kilometers per minute

Amanda 3.6 km / 6 minutes = .6 kilometers per minute

Sam's rate is faster and he would go farther in 1 minute.

Step-by-step explanation:

(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