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

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March 23rd 2009, 02:37 PM
mathsucks99

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
March 23rd 2009, 05:35 PM
Plato

No one can possibly help you if you do not supply every definition.
For example, what does A(k,m) mean?
March 24th 2009, 04:05 AM
Grillakis

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?
March 24th 2009, 05:18 AM
HallsofIvy

Then please answer the question Plato asked: how is A(m,n) defined? You can't prove anything about it without that!
March 24th 2009, 05:33 AM
Grillakis

Quote:

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??
March 24th 2009, 06:16 AM
ADARSH

Quote:

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
March 24th 2009, 06:36 AM
Grillakis

Quote:

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
March 24th 2009, 08:19 AM
Grandad

Inserting a link

Hello ADARSH

Quote:

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
March 24th 2009, 08:40 AM
ADARSH

Quote:

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---- http://www.mathhelpforum.com/math-he...createlink.gif --> image , and then enter the url on the box that pops up
March 24th 2009, 11:50 AM
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

Quote:

or delete 1 of them

Why one rather than another ?
March 24th 2009, 11:11 PM
Grandad

Changing the text of a link

Quote:

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