What is the next term of the geometric sequence?
5, 20, 80,5,20,80,5, comma, 20, comma, 80, comma

320

Step-by-step explanation:

5, 20, 80,5,20,80,5, comma, 20, comma, 80, comma is not a geometric sequence.

However, if you mean 5, 20, 80 it is a geometric sequence.

It is being multiplyed by 4 each time

so 80*4=320

The next number would be 320.

idk

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