20

step-by-step explanation:

assuming you meant there are 24 pounds of apples in each case, if this is not what you meant, correct me so i can you further

(a) common ratio in the given sequence is, 3

(b) [tex]6.973568802 \times 10^9[/tex] 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;

[tex]a_n = a_1r^{n-1}[/tex], where r is the common ratio between the successive terms and [tex]a_1[/tex] 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 [tex](a_1) = 6[/tex]

then;

[tex]a_n = a_ 1 \cdot r^{n-1}[/tex]

[tex]a_{20} = 6 \cdot 3^{20-1}[/tex]

simplify:

[tex]a_{20} = 6.973568802 \times 10^9[/tex]

therefore, [tex] 6.973568802 \times 10^9[/tex] push ups will do kendall do on the 20th week

idk

step-by-step explanation:

payback

d

step-by-step explanation:

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