An apple pie uses 4 cups of apples and 3 cups of flour. an apple cobbler uses 2 cups of apples and 3 cups of flour. you have 16 cups of apples and 15 cups of flour. when you sell these at the farmer’s market you make $3.00 profit per apple pie and $2.00 profit per apple cobbler. use linear programming to determine how many apple pies and how many apple cobblers you should make to maximize your profit.

(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