/ progresii 4-2 Fie progresia geometrică «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«mi mathvariant=¨normal¨»b«/mi»«mn»1«/mn»«/msub»«mo»,«/mo»«msub»«mi»b«/mi»«mn»2«/mn»«/msub»«mo»,«/mo»«mo»§#160;«/mo»«mo».«/mo»«mo».«/mo»«mo».«/mo»«mo»§#160;«/mo»«mo»,«/mo»«mo»§#160;«/mo»«msub»«mi»b«/mi»«mi mathvariant=¨normal¨»n«/mi»«/msub»«/math» pentru care b₁=#a1 şi q=#r.

Asociaţi termenilor şi sumelor de mai jos valorile corespunzătoare.

]]> 1.0000000 0.2500000 0 true Răspuns corect!

]]> Unele răspunsuri nu sunt corecte!

]]> Răspuns greşit!

]]> Termenul al treilea b₃ este:

]]> #a3 Termenul al cincilea b₅este:

]]> #a5 Suma primilor 5 termeni S₅ este:

]]> #S5 Suma primilor 8 termeni S₈ este:

]]> #S8 <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi><mo>(</mo><mo>)</mo><mo>:</mo><mo>=</mo><mi>random</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn></mtd></mtr></mtable></mfenced><mo>*</mo><mo> </mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>10</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>m</mi><mo>(</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>m</mi><mo>(</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>m</mi><mo>(</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mo>=</mo><mi>m</mi><mo>(</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>c</mi><mo>=</mo><mi>m</mi><mo>(</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>d</mi><mo>=</mo><mi>m</mi><mo>(</mo><mo>)</mo></mtd></mtr></mtable><mrow><mi>c</mi><mo>≠</mo><mi>d</mi><mo> </mo><mo>∧</mo><mi>c</mi><mo>≠</mo><mo>-</mo><mi>d</mi></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a1</mi><mo>=</mo><mfrac><mi>a</mi><mi>b</mi></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mfrac><mi>c</mi><mi>d</mi></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>Q</mi><mo>=</mo><mi>progression</mi><mo>(</mo><mi>a1</mi><mo>,</mo><mi>a1</mi><mo>*</mo><mi>r</mi><mo>,</mo><mi>a1</mi><mo>*</mo><msup><mi>r</mi><mn>2</mn></msup><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a3</mi><mo>=</mo><mi>Q</mi><mo>(</mo><mn>3</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a5</mi><mo>=</mo><mi>Q</mi><mo>(</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>S5</mi><mo>=</mo><mi>progression_sigma</mi><mo>(</mo><mi>Q</mi><mo>,</mo><mn>1</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>S8</mi><mo>=</mo><mi>progression_sigma</mi><mo>(</mo><mi>Q</mi><mo>,</mo><mn>1</mn><mo>,</mo><mn>8</mn><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer></correctAnswer></correctAnswers><options><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question>