Add or subtract. simplify your answer. 5x+10/x^2−16 + 10/x^2−16
a. 5x/x−4
b. -x
c. 5/x−4
d. 5x+20/x^2−16

add. simplify your answer. 6x/5x^2 + 4x/5x^2
a. 2x/5x
b. 2/x
c. 2/x^2
d. 2x

(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

●yes, this statement is absolutely apt.

hope this you