HP Forums
Factorial equation - Printable Version

+- HP Forums (https://www.hpmuseum.org/forum)
+-- Forum: HP Calculators (and very old HP Computers) (/forum-3.html)
+--- Forum: HP Prime (/forum-5.html)
+--- Thread: Factorial equation (/thread-20674.html)



Factorial equation - Quadratica - 10-20-2023 08:39 PM

Playing about with the Prime

(n+2)! = 4*n! +4*(n+1)!

Simple to solve by hand

My attempts at getting the Prime to solve it fail.

TI nSpire CAS solves it correctly

Geo-Gebra fails

Any help is welcome.


RE: Factorial equation - calc_freak - 10-21-2023 01:07 AM

I just copied your equation and pasted it into the Solve app on my Prime emulator. Click the Num key and then the Solve soft key. It spit out 3 as the answer. Same result on my iOS version.


RE: Factorial equation - C.Ret - 10-21-2023 03:12 PM

Hi, you are welcome.

That's right, directly typing SOLVE((n+2)!=4n!+4(n+1)!,n) results in an error message (see first line in the following screenshot).

(10-20-2023 08:39 PM)Quadratica Wrote:  Simple to solve by hand
This is the detail of great importance that lead you to one the turnaround (see second line in screenshot).

But, there is a lot of other way to get the answer without any effort (see last entry in the screenshot).
[Image: attachment.php?aid=12697]
[attachment=12697]

I hope this help a bit.


RE: Factorial equation - Quadratica - 10-21-2023 08:31 PM

Both suggestions work. It's annoying that it requires a little workaround which would not be the case on other types of equations. I didn't know that the option to specify a range for the solution existed and it's good to know.

Thank you