VCP.XDATA5f4d435305main03GP00000031mainGPGUQ00000bc4 2 A,B,C,D,E,F,G,H,I,J,K,L,N,P,Q,R,S,T,U"GP Solver" T "" T "GP Solver (v1.1) 2012 Charlie Watson www.charliewatson.com Seq option overwrites data in Sequence app",T T," - You know?",J C,"1: a & r 2: Two terms",J C<1 C>2 C=1:
N,"Enter a & r with comma between Eg 1,5",T N,",",E E=07 N,E-1,A N,E+1,R(A) AA B(R) RR S C=2:
N,"First n & Tn with comma between Eg 1,5",T N,",",E E=0 N,E-1,D(D) D N,E+1,F(F) F
N,"Second n & Tn with comma between Eg 2,8",T N,",",E E=0= N,E-1,G(G) G N,E+1,H(H) HG-D P P*F*H=0: "Values no good! Check and try again",T9 CH/F Q Q<0 (P/2)=0]: "Values no good! Check and try again",T9 C C9:Q^(1/P) RF/(R^(D-1)) AR*(-1)^(1+2*(P/2)) SF/(S^(D-1)) B(D/2) D7 C C7 C9+ C,"1:Tn 3:Tn= 5:S 7:Rule 2:Sn 4:Sn= 6:Seq 9:End","GP Options" C=1: "" "Find T(n)" N,"Term n. n=?","Tn"A*R^(N-1) U N,J "T(",J,J J,")=",J U,K J,K,K K C=2@: "" "Find S(n)" N,"Sum of n terms. n=?","Sn"A*(1-R^N)/(1-R) U N,J "S(",J,J J,")=",J U,K J,K,K K C=3:"" "Tn=" R>0 P,"Nth term equals","GP: Tn=" A*P>0: 20,9,P " n=" 20,19,_(P/A)/_(R)+1 "Not possible",T8 "Unable to calculate! Solution may exist. Check using Seq option",T C=4 "" "Sn=" R>0 L,"Sum of first n terms to equal?","GP: Sn=" 20,9,L A*L0u R<1D (L)< (A/(1-R)) " n=" 20,19,_(1-L*(1-R)/A)/_(R)< "Sum to infinity equalled or exceeded",Tm " n=" 20,19,_(1-L*(1-R)/A)/_(R) "No solution",T "Unable to calculate! Solution may exist. Check using Seq option",T C=6 N,"n from 1 to","GP: Table of values"R "aa"1 EN F R,J J,"a",JJ 7A J"" <0 MP <"" A0 PP A 120,82,"Tap "/' C=7 ""10 C R+S=0
"Two possible sequences" "r=" 18,19,R "a=" 18,29,A "or" "r=" 18,49,S "a=" 18,59,B I,"Continue with ratio as 1: +ve 2: -ve","GP: Which ratio?" I1 I2 S (I=1 R<0) (I=2 R>0)
:-R R:-S S D=0
::-A A:-B B: "" "Explicit" A,J "T=",J,J J,"(",J R,K J,K,J J,")^(n-1)",J J A/R,J "T=",J,J J,"(",J R,K J,K,J J,")^n",J J "" "Recursive" R,J J,"T",J "T=",J,J J A,J "T=",J,J J C=5 "" "Sum to infinity" (R)1 "Sum to infinity does not exist because |ratio|1",TA/(1-R) U "S()=" 32,19,U C920