12 1/10
A quick way to get this one is to recognize that .1 is a decimal in the tenth place. Because of this, we know to put it over 10. Because 1/10 cannot be simplified, it is in simplest form. Now, simply return the whole number to the fraction.
Answer:
x₁ = 3,29296875
x₂ = 3,276659786
x₃ = 3,279420685
Step-by-step explanation:
This is a recurrent relationship between xₙ₊₁ and xₙ
To get x₁, write the formula with n=0:

Then fill in what you know, x₀=3.2. This gives you x₁.
Repeat for n=1,... and so forth.
Excel can do this effectively, see picture.
It is a nice linear equation. Remember y=mx+b
b is the y intercept you'll see
m is the slope rise over run
I don't like giving answers away but I am ready to help!