# Homework Help: Mathematical Induction Help!

1. May 7, 2012

### PTiger

I am currently exploring if whether or not a fourth dimension exists or can be drawn. According to my professor, I have to use mathematical induction.

I know that 2^n is the equation and "n" equals the dimension. Therefore 2^1 is 2. The first dimension is a line with 2 terminal points and 2^2 =4 because the second dimension is four terminal points.

For mathematical induction, I guess I'm trying to prove that 2^n is true and 2^n+1. The only way I can prove this is by drawing it. I can draw that 2^4 = 16 terminal points and 2^n+1, I can show that you can end up with 4 terminal points, 16 terminal points...However, I don't know what type of equation to use.

2. May 7, 2012

### Ray Vickson

You need to use parentheses to make your expressions clear. For example, 2^4+1 = 16+1 = 17 when read using standard rules, but 2^(4+1) = 2^5 = 32. If you mean 2^(4+1), you need to write it like that, or else use the "superscript" button (on the pallette at the top of the input pane---it looks like X2); that would give you 24+1.

RGV

3. May 7, 2012

### Staff: Mentor

2n is not a statement, so it's meaningless to say that it is either true or false. Same with 2n+1.

Examples of statements:
x + 1 = 3
y < 5
The name of my dog is Dylan.

Regarding the problem you posted, I don't believe that you have described it correctly. Induction proofs are not used to prove statements about specific value of n, such as n = 4. They are used to proved statements of a more general statement.

What exactly are you trying to prove?

4. May 7, 2012

### Punkyc7

Assume that the statement holds for n=1,.....n and show that it implies true for n+1