If possoble, identify the common ratio or difference.

9, 13, 17, 21, ....

a. arithmetic

b. geometric

c. geometric

d. neither

Falak Kinney
2021-02-02
Answered

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

If possoble, identify the common ratio or difference.

9, 13, 17, 21, ....

a. arithmetic

b. geometric

c. geometric

d. neither

You can still ask an expert for help

Cristiano Sears

Answered 2021-02-03
Author has **96** answers

Step 1 Fora sequence to be arithmetic sequence difference between consecutive terms must be equal.

Mathematically,

Consider the given sequence: 9,13,17,21,...

Step 2

Now check for common difference,

This proves that,

Therefore, it is arithmetic progression with common difference 4,

asked 2021-03-02

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. $3,8,13,18,...,48$

asked 2022-05-01

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

$y={b}_{0}+{b}_{1}x$

Our sigmoid function

$p=\frac{1}{1+{e}^{-y}}$

Our logistic function

$\mathrm{ln}\left(\frac{p}{1-p}\right)={b}_{0}+{b}_{1}x$

From what I understand, we have to solve for y using the sigmoid function. I did this:

1.$p=\frac{1}{1+{e}^{-y}}$

2.$\frac{1}{p}=1+{e}^{-y}$

3.$\frac{1}{p}-1={e}^{-y}$

4.$\mathrm{ln}(\frac{1}{p}-1)=\mathrm{ln}\left({e}^{-y}\right)$

5.$\mathrm{ln}(\frac{1}{p}-1)=-y$

6.$-\mathrm{ln}(\frac{1}{p}-1)=y$

6 is y for our logistic function, but I don't see how can we get to our logistic function y

$\mathrm{ln}\left(\frac{p}{1-p}\right)$

Can anyone help me transpose this or point me in the right direction?

If anyone downvotes me, please explain why in a comment.

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

Our sigmoid function

Our logistic function

From what I understand, we have to solve for y using the sigmoid function. I did this:

1.

2.

3.

4.

5.

6.

6 is y for our logistic function, but I don't see how can we get to our logistic function y

Can anyone help me transpose this or point me in the right direction?

If anyone downvotes me, please explain why in a comment.

asked 2021-11-16

Find the general solution to the differential equation.

y" - 8y

y" - 8y

asked 2020-11-29

To simplify:

The given expression$\sqrt{{x}^{3}}$

The given expression

asked 2021-06-18

For the following exercises, determine whether the equation represents exponential growth, exponential decay, or neither. Explain.

asked 2020-11-30

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

asked 2022-02-01

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