The Northeastern United States is getting another snowstorm! Sean, a fifth grade student, decides he will measure how many inches of snow he gets outside his apartment building. Before he goes to bed, he measures and records the snow as 4 and 3/4 inches high. When he wakes up in the morning (snow day!), he measures again and records it as 12 and 1/8 inches high. How much snow fell overnight outside Sean's apartment?

where are the graphs?

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