Programming Exercise (HP-15C, 15C LE - and others)

[Tugdual]

(03-29-2014 12:02 PM)Thomas Klemm Wrote:  

(03-29-2014 12:36 AM)Tugdual Wrote:  Nobody mentioned that entering $$\sum _{ K=1 }^{ 10000 }{ \frac { { (-1 })^{ K+1 } }{ K } }$$ on the Prime with no need for any sort of coding would instantly return 0.693097183025
Is that off scope consideration for this thread?
I know that the prime is blazing fast but the speed is so impressive that I wonder if the calculator is actually performing a loop?

That's the solution to:

Quote:(a) addition of terms from left to right

What about:

Quote:(b) addition of terms from right to left

Compare the results and explain the difference.
Can you do even better?

Cheers
Thomas

For (b) I did:
$$\sum _{ K=10000 }^{ 1 }{ \frac { { (-1 })^{ K+1 } }{ K } }$$

I can't explain the difference because the result is the same