what is wrong here?

[allegansveritatem]

Here is problem:

Here is what I did with this:

Obviously this is not working. But when change the - tan to +tan I do better:


But this in not in the formula. What is wrong here?

 

[pka]

LOOK HERE
In the recursion you used the index and not the function:
\(f(1)=3,~f(n+1)=f(n)-\tan\bf (f(n))\)

 

[Dr.Peterson]

It says [MATH]x_k-\tan(x_k)[/MATH], not [MATH]x_k-\tan(k)[/MATH] !

Your first step should be [MATH]3 - \tan(3)[/MATH], not [MATH]3 - \tan(1)[/MATH].

 

[allegansveritatem]

LOOK HERE
In the recursion you used the index and not the function:
\(f(1)=3,~f(n+1)=f(n)-\tan\bf (f(n))\)

Nice program. I see what you are saying. Thanks. I will go after it again tomorrow.

 

[allegansveritatem]

It says [MATH]x_k-\tan(x_k)[/MATH], not [MATH]x_k-\tan(k)[/MATH] !

Your first step should be [MATH]3 - \tan(3)[/MATH], not [MATH]3 - \tan(1)[/MATH].

Right. I see it. I will work it out again tomorrow. Thanks for checking it out.

 

[allegansveritatem]

I went back to this today and I think I got it:

 

[Dr.Peterson]

I went back to this today and I think I got it:
View attachment 23714

Good.

I don't suppose they go on to ask why this happens, and whether there is a similar result for any starting number.