无穷级数求和

GeoGebra 命令及参数

1. UnicodeToLetter(10007) → xmark
2. UnicodeToLetter(10003) → cmark
3. Polygon({(left, bottom), (left, top), (right, top), (right, bottom)}) → viewbox
4. LaTeX((((("\text{\textbf{Question: }" * MainInstruc) * "\\\textbf{Instructions: }") * SpecInstruc) * "}")) → allInstruc
5. Circle(Origin, circRadius) → c
6. Sequence(1 / 2^(i), i, 1, numTerms) → allTerms
7. Sequence(1 - (1 / 2)^(i), i, 1, numTerms) → SumOfTerms
8. Sequence(Sector[c, 0, ((Element[SumOfTerms, i] * 2) * π)], i, 1, numTerms) → allSectors
9. Sector(c, 0, (((1 - (1 / 2)^(numTerms)) * 2) * π)) → fullShadedArea
10. Zip(NumToTfrac[A], A, allTerms) → allTermsLatex
11. Append(Sequence["\text{ +}", i, 1, numTerms - 1], "") → plusSigns
12. TableText({Flatten[Zip[(A * B), A, allTermsLatex, B, plusSigns]]}) → seriesDisplay
13. TableText({{(("\text{\vphantom{\dfrac{1}{2}}Fraction of the Circle that is Shaded: \(" * NumToTfrac[1 - 1 / 2^(numTerms)]) * "\)}"), (("\text{Fraction of the Circle that is NOT Shaded: \(" * NumToTfrac[1 / 2^(numTerms)]) * "\)}")}}, "v") → dataDisplay