Three men (Greg, Larry, and Sam) went to the pet shop on different days (Monday, Wednesday, and Friday) and each bought a different breed of dog (German Shepherd, Labrador Retriever and Saint Bernard). From the clues below, which chart correctly matches the man, the day and the dog breed? 1. No man purchased a breed of dog beginning with the same letter as their first name. 2. Greg purchased the St. Bernard before Sam purchased his dog. 3. The German Shepherd was the first dog to be purchased.

answer:   (s+1)(s+4)

step-by-step explanation:

factor s2+5s+4

s2+5s+4

=(s+1)(s+4)

(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