Answer:
Explicit form: 
Recursive form: 
with 
.
Step-by-step explanation:
The first term is 3 and we are dividing by 3 each time.
Another way to say we are dividing by 3 each time is to say we are multiplying by factors of 1/3.
If the first term is 
and 
is the common ratio then the geometric sequence in explicit form is:
The recursive form for a geometric sequence is 
with 
where is the common ratio and is the first term.
So the recursive form for our sequence is with .
Its D because its a one-to-many relation ( note 2 maps to 3 and also maps to 5), o0maps to -1 and also to 4 and 6)
Answer:
Step-by-step explanation:
We are to find two numbers such that their difference and also the difference of their cubes are given numbers
Let the two numbers be x+3 and x-3
so that the difference between the numbers is 6.
Difference between the cubes
= ![(x+3)^3-(x-3)^3\\= (x+3-x+3)[(x+3)^2+(x-3)^2-(x+3)(x-3)] = 504\\3x^2+9=84\\x^2 = 25\\x = 5 or -5](https://tex.z-dn.net/?f=%28x%2B3%29%5E3-%28x-3%29%5E3%5C%5C%3D%20%28x%2B3-x%2B3%29%5B%28x%2B3%29%5E2%2B%28x-3%29%5E2-%28x%2B3%29%28x-3%29%5D%20%3D%20504%5C%5C3x%5E2%2B9%3D84%5C%5Cx%5E2%20%3D%2025%5C%5Cx%20%3D%205%20or%20-5)
So the numbers are either 2 and 8 or
(-2 and -8)
Marlon will withdrew 125 dollars by multiplying 25×5
