How can I solve this question ?
wick method should I use ?​

24/60=6/15=2/5=48/120=16/40

Step-by-step explanation:

Now we see that,

6/15=2/__

Let us say '__' in 2/__ is 'x'

6/15=2/x

6x=15x2

6x=30

x=5

=>2/5

Similarly,

2/5=x/120

2x120=5x

240=5x

5x=240

x=240/5

x=48

=>48/120

48/120=16/x

48/16=120/x

3=120/x

x=120/3

x=40

=>16/40

(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