Hello
Is there a program/formula that I can use on my casio cg20 to find the nth term of a sequence of numbers that involves simply putting in a few terms?
No. Even assuming the sequence is based on evaluating a polynomial, it is impossible in general to know the degree of the polynomial.
I have a TI-83/84+ program that can solve this problem.
Code: ClrHome
Disp " PATTERN "
Input "",Str0
Input "[n]=",Str3
expr("{"+Str3→ʟC
expr("{"+Str0→ʟA
dim(ʟA→A
A→dim(ʟB
For(A,1,A)
A→ʟB(A)
End
CubicReg ʟB,ʟA,Y₁
Disp Y₁(ʟC)
If the list is not very long, then this won't matter at all, but I always love optimizations soooo this part
ohernandez wrote:
I have a TI-83/84+ program that can solve this problem.
Code: dim(ʟA→A
A→dim(ʟB
For(A,1,A)
A→ʟB(A)
End
Could be replaced by Code: seq(X,X,1,dim(ʟA→ʟB
Code: cumSum(1 or ʟA→B
The code only works for fourth-degree polynomials though, so it fails on anything else, including simple formulas like the Fibonacci sequence (for which it gives x5 = 0).
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