Two numbers of columns for the general problem

[yangyongkang]

first question：

Code:

rsolve(a(n+1)=a(n)^2,a(n),a(1)=1)

XCAS output results：

Quote:"Unable to isolate rsolve_x0 in seqsolve([rsolve_x0^2,[rsolve_x0,n],[rsolve_x0]])"

second question：

Code:

rsolve(a(n+1)=(2*n^2*a(n)+4n*a(n)+2*a(n)+1)/(2n^2+4n-a(n)+2),a(n),a(1)=1/2)

Terminal output：

Quote:Cst part must be hypergeometric
Unable to solve recurrence

The second number of questions can be tried by mathematical methods. Thank you for browsing, Happy New Year.

[ijabbott]

Section 19.2 (page 304) of Symbolic computation and Mathematics with the calculator HP Prime (hp-prime_cas.pdf) goes into more detail about what forms of sequences are supported by rsolve. This information has been omitted from the official HP Prime User Guide for some reason.