Knowing the points a(1, 6), b(−5, −2), c(−1, −5), and d(5, 3), and that segment ab is parallel to segment cd, what is the length of segment ab and segment cd comma and do points a, b, c, and d form a parallelogram? hint: to prove these points form a parallelogram, segment ab and segment cd must be equal in lengt

just keep asking questions until you have a better understanding.

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