nouveau     aide     guide     notions     brouillon     clavier     écran     imprimer
Déterminer le sens de variation de suites géométriques à termes positifs définies par une relation de récurrence    ressource 2538

Indiquez le sens de variation de chacune des suites géométriques définies ci-dessous.

La suite ( v n ) n définie pour tout n par { v 0 = 8 3 v n + 1 = 5 v n 8 TagBox[GridBox[List[List["\[Piecewise]", GridBox[List[List[RowBox[List[SubscriptBox["v", "0"], "\[LongEqual]", FractionBox["8", "3"]]], ""], List[RowBox[List[SubscriptBox["v", RowBox[List["n", "+", "1"]]], "\[LongEqual]", FractionBox[RowBox[List["5", " ", SubscriptBox["v", "n"]]], "8"]]], ""]], Rule[ColumnAlignments, List[Left]], Rule[ColumnSpacings, 1.2`], Rule[ColumnWidths, Automatic], Rule[AllowedDimensions, List[2, Automatic]], Rule[Selectable, True], Rule[Editable, True]]]], Rule[ColumnAlignments, List[Left]], Rule[ColumnSpacings, 0.5`], Rule[ColumnWidths, Automatic]], "Piecewise", Rule[SyntaxForm, Equal], Rule[SelectWithContents, True], Rule[Selectable, False], Rule[Editable, False], Rule[DeleteWithContents, True]]
La suite ( w n ) n définie pour tout n par { w 0 = 8 w n + 1 = 3 w n 2 TagBox[GridBox[List[List["\[Piecewise]", GridBox[List[List[RowBox[List[SubscriptBox["w", "0"], "\[LongEqual]", "8"]], ""], List[RowBox[List[SubscriptBox["w", RowBox[List["n", "+", "1"]]], "\[LongEqual]", FractionBox[RowBox[List["3", " ", SubscriptBox["w", "n"]]], "2"]]], ""]], Rule[ColumnAlignments, List[Left]], Rule[ColumnSpacings, 1.2`], Rule[ColumnWidths, Automatic], Rule[AllowedDimensions, List[2, Automatic]], Rule[Selectable, True], Rule[Editable, True]]]], Rule[ColumnAlignments, List[Left]], Rule[ColumnSpacings, 0.5`], Rule[ColumnWidths, Automatic]], "Piecewise", Rule[SyntaxForm, Equal], Rule[SelectWithContents, True], Rule[Selectable, False], Rule[Editable, False], Rule[DeleteWithContents, True]]
La suite ( x n ) n définie pour tout n par { x 0 = 4 x n + 1 = 7 x n 6 TagBox[GridBox[List[List["\[Piecewise]", GridBox[List[List[RowBox[List[SubscriptBox["x", "0"], "\[LongEqual]", "4"]], ""], List[RowBox[List[SubscriptBox["x", RowBox[List["n", "+", "1"]]], "\[LongEqual]", FractionBox[RowBox[List["7", " ", SubscriptBox["x", "n"]]], "6"]]], ""]], Rule[ColumnAlignments, List[Left]], Rule[ColumnSpacings, 1.2`], Rule[ColumnWidths, Automatic], Rule[AllowedDimensions, List[2, Automatic]], Rule[Selectable, True], Rule[Editable, True]]]], Rule[ColumnAlignments, List[Left]], Rule[ColumnSpacings, 0.5`], Rule[ColumnWidths, Automatic]], "Piecewise", Rule[SyntaxForm, Equal], Rule[SelectWithContents, True], Rule[Selectable, False], Rule[Editable, False], Rule[DeleteWithContents, True]]
La suite ( y n ) n définie pour tout n par { y 0 = 7 3 y n + 1 = 3 y n 5 TagBox[GridBox[List[List["\[Piecewise]", GridBox[List[List[RowBox[List[SubscriptBox["y", "0"], "\[LongEqual]", FractionBox["7", "3"]]], ""], List[RowBox[List[SubscriptBox["y", RowBox[List["n", "+", "1"]]], "\[LongEqual]", FractionBox[RowBox[List["3", " ", SubscriptBox["y", "n"]]], "5"]]], ""]], Rule[ColumnAlignments, List[Left]], Rule[ColumnSpacings, 1.2`], Rule[ColumnWidths, Automatic], Rule[AllowedDimensions, List[2, Automatic]], Rule[Selectable, True], Rule[Editable, True]]]], Rule[ColumnAlignments, List[Left]], Rule[ColumnSpacings, 0.5`], Rule[ColumnWidths, Automatic]], "Piecewise", Rule[SyntaxForm, Equal], Rule[SelectWithContents, True], Rule[Selectable, False], Rule[Editable, False], Rule[DeleteWithContents, True]]
La suite ( z n ) n définie pour tout n par { z 0 = 7 6 z n + 1 = 7 z n 9 TagBox[GridBox[List[List["\[Piecewise]", GridBox[List[List[RowBox[List[SubscriptBox["z", "0"], "\[LongEqual]", FractionBox["7", "6"]]], ""], List[RowBox[List[SubscriptBox["z", RowBox[List["n", "+", "1"]]], "\[LongEqual]", FractionBox[RowBox[List["7", " ", SubscriptBox["z", "n"]]], "9"]]], ""]], Rule[ColumnAlignments, List[Left]], Rule[ColumnSpacings, 1.2`], Rule[ColumnWidths, Automatic], Rule[AllowedDimensions, List[2, Automatic]], Rule[Selectable, True], Rule[Editable, True]]]], Rule[ColumnAlignments, List[Left]], Rule[ColumnSpacings, 0.5`], Rule[ColumnWidths, Automatic]], "Piecewise", Rule[SyntaxForm, Equal], Rule[SelectWithContents, True], Rule[Selectable, False], Rule[Editable, False], Rule[DeleteWithContents, True]]