Thread: Show that A(1,n) = 2^n whenever n greater than or equal to 1

Problem :: Show that A(1,n) = 2^n whenever n greater than or equal to 1:

This is what i have so far:
proof by induction:

Basis Step: n =1 so we need to comput A(1,1) and A(1,1) equals 3

Inductive Step: Assume A(1, n-1) = 2^(n-1) and consider A(1, n)

I dont know if any of this is correct.. need some help here

No one can possibly help you if you do not supply every definition.
For example, what does A(k,m) mean?

I am stuck on this same problem. But I think we do use induction.I have this:

Base Case:
A(1, n) = n + 2
n + 2 = 2^(n) Let n = 2
2 + 2 = 2^(2)
4 = 4 Base case holds

Induction Step:
We going to assume P(k) is true for all integers of k > 1

Induction Step (Confused Here):
We must prove for P(k+1)

What do I do next b/c I cant solve this?

Then please answer the question Plato asked: how is A(m,n) defined? You can't prove anything about it without that!

Originally Posted by HallsofIvy

Then please answer the question Plato asked: how is A(m,n) defined? You can't prove anything about it without that!

what do you mean by defined b/c the question is word for word straight from the book from the exercises? You want me to pop a link so you guys can see it??

Originally Posted by Grillakis

what do you mean by defined b/c the question is word for word straight from the book from the exercises? You want me to pop a link so you guys can see it??

This question is same as has been asked here , its better if a staff member adds the two thread

Originally Posted by ADARSH

This question is same as has been asked here , its better if a staff member adds the two thread

or delete 1 of them

Hello ADARSH

Originally Posted by ADARSH

This question is same as has been asked here , its better if a staff member adds the two thread

How do you change the text of a Link - as you have done here? (Except mine's not a real link, of course!)

Grandad

Originally Posted by Grandad

Hello ADARSHHow do you change the text of a Link - as you have done here? (Except mine's not a real link, of course!)

Grandad

select text and click on---- --> image , and then enter the url on the box that pops up

@ Grandad : the code is :
[url=http://.....]name for the link[/url]

(note that the part "name for the link" can include bbcode such as bold, color, etc...)

for example :
[url=http://www.mathhelpforum.com/math-help/][b][color=red]Your maths website[/color][/b][/url] gives :
Your maths website

or delete 1 of them

Why one rather than another ?

Originally Posted by Moo

@ Grandad : the code is :
[url=http://.....]name for the link[/url]

(note that the part "name for the link" can include bbcode such as bold, color, etc...)

for example :
[url=http://www.mathhelpforum.com/math-help/][b][color=red]Your maths website[/color][/b][/url] gives :
Your maths website

Thanks, Moo. That worked fine when I just tested it! (And thanks too for an example of the use of [noparse], which has now become visible in the editor window. I'll add this posting to my 'Useful threads' folder, and hope I can remember where I put it!

Grandad