The figure below can be used to prove the Pythagorean Theorem. Use the drop-down menus to complete the proof.
Choose #1:
4ab+c^2
ab+c^2
2ab+c2
Choose #2
(ab)^2 and a^2(b^2)
2 (a+b) and 2a +2b
(a+b)^2 and a^2+2ab+b^2
Choose #3
2a+2b
2ab
ab
(a+b)^2

(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

time is equal to distance over rate so

t = d/r

need a little bit more information for the second question.