Determine whether the given sequence could be geometric,arithmetic, or neither. If possoble, identify the common ratio or difference. 9, 13, 17, 21, .... a. arithmetic d = 4 b. geometric r = 4 c. geometric r = frac{1}{4} d. neither

Write A if the sequence is arithmetic, G if it is geometric, H if it is harmonic, F if Fibonacci, and O if it is not one of the mentioned types. Show your Solution. a. $\frac{1}{3},\frac{2}{9},\frac{3}{27},\frac{4}{81},...$ b. $3,8,13,18,...,48$

Logistic regression - Transposing formulas
I am trying to understand the math behind Logistic regression. I am confused about transposing one formula to another.
Here is what I have: Our regression formula
${\displaystyle y=b_0+b_{1}x}$
Our sigmoid function
${\displaystyle p=\frac{1}{1+e^{-y}}}$
Our logistic function
${\displaystyle \ln \left(\frac{p}{1-p}\right)=b_0+b_{1}x}$
From what I understand, we have to solve for y using the sigmoid function. I did this:
1.${\displaystyle p=\frac{1}{1+e^{-y}}}$
2.${\displaystyle \frac{1}{p}=1+e^{-y}}$
3.${\displaystyle \frac{1}{p}-1=e^{-y}}$
4.${\displaystyle \ln (\frac{1}{p}-1)=\ln \left(e^{-y}\right)}$
5.${\displaystyle \ln (\frac{1}{p}-1)=-y}$
6.${\displaystyle -\ln (\frac{1}{p}-1)=y}$
6 is y for our logistic function, but I don't see how can we get to our logistic function y
${\displaystyle \ln \left(\frac{p}{1-p}\right)}$
Can anyone help me transpose this or point me in the right direction?
If anyone downvotes me, please explain why in a comment.

Find the general solution to the differential equation.
y" - 8y

To simplify:
The given expression ${\displaystyle \sqrt{x^3}}$

For the following exercises, determine whether the equation represents exponential growth, exponential decay, or neither. Explain. $y=300(1-t{)}^5$

Use your equation to determine the half-life ofthis type of Fodine, That is, find out how many days it will take for half of the original amount to be left. Show an algebraic solution using logs

Is the expression ${\displaystyle \frac{4m}{3p}}$ a polynomial?