The table shows two sloth populations growing over time. Describe a pattern in how each population changed from one year to the next.
These patterns continued for many years. Based on this information, fill in the extra rows in the table.
On the same axes, draw graphs of the two populations over time.
Does Population 2 ever equal Population 1? If so, when? Explain or show your reasoning.

look at the picture below

125 yards

step-by-step explanation:

i take 75 plus 50.

(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