hat is the quotient of StartFraction 6 Over 7 EndFraction and StartFraction 3 Over 14 EndFraction? A fraction bar labeled 1. Under the 1 are 2 boxes containing one-half. Under the 2 boxes are 7 boxes containing StartFraction 1 Over 7 EndFraction. Under the 7 boxes are 14 boxes containing StartFraction 1 Over 14 EndFraction. One-fourth 2 3 and one-third 4

ratio is 2 : 9

the answer is three

13.5 : 3

(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