Question

Chantel drew a picture of her dog on a piece of paper that is 12 centimeters long. She used a copy machine to enlarge her drawing. She used the 115% setting to make each new copy. She then used each new copy to generate the next copy, using the same copier setting.
Enter a recursive formula that will give the length of each new copy.


Possible Answer:

a_1 = 12

a_n=1.15a_n-1


I want to know howto show work
HELPPPPPPPPPPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 1

Answer:

a(n)=1.15[a(n-1)]

Step-by-step explanation:

we know that

$115\%=115/100=1.15$

Let

a0 -----> the length of the original copy

The first copy is equal to

a1=1.15(a0)

The second copy is

a2=1.15[1.15(a0)] or a2=1.15[a1]

The third copy is

a3=1.15{1.15[1.15(a0)]} or a3=1.15[a2]

therefore

A recursive formula will be

a(n)=1.15[a(n-1)]