<PRELOAD>
  miniaufgabe.js
</PRELOAD>

==== 30. Oktober 2023 bis 3. November 2023 ====
=== Montag 30. Oktober 2023 ===
Schreiben Sie folgende Summen aus:<JS>miniAufgabe("#exosummen_ausschreiben","#solsummen_ausschreiben",
[["$\\displaystyle \\sum_{a=3}^{n}{\\sqrt{i^2+a}} +\\sqrt{5}$", "$\\displaystyle \\sqrt{i^2+3}+\\sqrt{i^2+4}+\\sqrt{i^2+5}+\\ldots+\\sqrt{i^2+\\left(n-2\\right)}+\\sqrt{i^2+\\left(n-1\\right)}+\\sqrt{i^2+\\left(n\\right)}+\\sqrt{5}$"], ["$\\displaystyle \\sum_{i=3}^{n}{\\sqrt{i^2+a}} +\\sqrt{5}$", "$\\displaystyle \\sqrt{3^2+a}+\\sqrt{4^2+a}+\\sqrt{5^2+a}+\\ldots+\\sqrt{\\left(n-2\\right)^2+a}+\\sqrt{\\left(n-1\\right)^2+a}+\\sqrt{\\left(n\\right)^2+a}+\\sqrt{5}$"], ["$\\displaystyle \\sum_{i=m}^{42}{(i+a)^2} +(3+a)^2$", "$\\displaystyle (\\left(m\\right)+a)^2+(\\left(m+(1)\\right)+a)^2+(\\left(m+(2)\\right)+a)^2+\\ldots+(40+a)^2+(41+a)^2+(42+a)^2+(3+a)^2$"], ["$\\displaystyle \\sum_{a=m}^{42}{(i+a)^2} +(3+b)^2$", "$\\displaystyle (i+\\left(m\\right))^2+(i+\\left(m+(1)\\right))^2+(i+\\left(m+(2)\\right))^2+\\ldots+(i+40)^2+(i+41)^2+(i+42)^2+(3+b)^2$"], ["$\\displaystyle \\sum_{i=n}^{m}{a_{i}} -s_m$", "$\\displaystyle a_{\\left(n\\right)}+a_{\\left(n+(1)\\right)}+a_{\\left(n+(2)\\right)}+\\ldots+a_{\\left(m-2\\right)}+a_{\\left(m-1\\right)}+a_{\\left(m\\right)}-s_m$"], ["$\\displaystyle \\sum_{i=x}^{y}{f(i)} +f(3)$", "$\\displaystyle f(\\left(x\\right))+f(\\left(x+(1)\\right))+f(\\left(x+(2)\\right))+\\ldots+f(\\left(y-2\\right))+f(\\left(y-1\\right))+f(\\left(y\\right))+f(3)$"], ["$\\displaystyle \\sum_{i=2}^{20}{\\frac{i+2}{i}} -\\frac{7}{5}$", "$\\displaystyle \\frac{\\left(2\\right)+2}{\\left(2\\right)}+\\frac{\\left(2+(1)\\right)+2}{\\left(2+(1)\\right)}+\\frac{\\left(2+(2)\\right)+2}{\\left(2+(2)\\right)}+\\ldots+\\frac{\\left(20-2\\right)+2}{\\left(20-2\\right)}+\\frac{\\left(20-1\\right)+2}{\\left(20-1\\right)}+\\frac{\\left(20\\right)+2}{\\left(20\\right)}-\\frac{7}{5}$"], ["$\\displaystyle \\sum_{\\alpha=7}^{d}{\\sin(\\alpha \\cdot \\pi)} +2\\pi$", "$\\displaystyle \\sin(\\left(7\\right) \\cdot \\pi)+\\sin(\\left(7+(1)\\right) \\cdot \\pi)+\\sin(\\left(7+(2)\\right) \\cdot \\pi)+\\ldots+\\sin(\\left(d-2\\right) \\cdot \\pi)+\\sin(\\left(d-1\\right) \\cdot \\pi)+\\sin(\\left(d\\right) \\cdot \\pi)+2\\pi$"], ["$\\displaystyle \\sum_{p=1}^{12}{\\frac{x^p}{2p+1}} -\\frac{x^12}{24}$", "$\\displaystyle \\frac{x^\\left(1\\right)}{2\\left(1\\right)+1}+\\frac{x^\\left(1+(1)\\right)}{2\\left(1+(1)\\right)+1}+\\frac{x^\\left(1+(2)\\right)}{2\\left(1+(2)\\right)+1}+\\ldots+\\frac{x^\\left(12-2\\right)}{2\\left(12-2\\right)+1}+\\frac{x^\\left(12-1\\right)}{2\\left(12-1\\right)+1}+\\frac{x^\\left(12\\right)}{2\\left(12\\right)+1}-\\frac{x^12}{24}$"]],
" <br> ", " <br> ");
</JS>
<HTML>
<div id="exosummen_ausschreiben"></div>

</HTML>
<hidden Lösungen>
Die Lösungen sind automatisch generiert und enthalten z.T. Klammern, die man auch weglassen könnte.
<HTML>
<div id="solsummen_ausschreiben"></div>
<div style='font-size:12px;color:gray;'>ruby summen-ausschreiben.rb </div>
</HTML>

</hidden>

=== Dienstag 31. Oktober 2023 ===
Schreiben Sie mit dem Summenzeichen<JS>miniAufgabe("#exoar_gr_implizit_zu_summe","#solar_gr_implizit_zu_summe",
[["$s=9+6+3+0+\\ldots+(-63)+(-66)+(-69)+(-72)$", "$s=\\displaystyle \\sum_{i=0}^{27}\\left(9+i\\cdot(-3)\\right)$"], ["$s=5+(-15)+45+(-135)+\\ldots+3^{14}\\cdot5$", "$s=\\displaystyle \\sum_{i=0}^{14}5\\cdot(-3)^i$"], ["$s=5+8+11+14+\\ldots+71+74+77+80$", "$s=\\displaystyle \\sum_{i=0}^{25}\\left(5+i\\cdot3\\right)$"], ["$s=(-6)+18+(-54)+162+\\ldots+(-2\\cdot3^{25})$", "$s=\\displaystyle \\sum_{i=0}^{24}-6\\cdot(-3)^i$"], ["$s=7+9+11+13+\\ldots+21+23+25+27$", "$s=\\displaystyle \\sum_{i=0}^{10}\\left(7+i\\cdot2\\right)$"], ["$s=5+(-20)+80+(-320)+\\ldots+2^{56}\\cdot5$", "$s=\\displaystyle \\sum_{i=0}^{28}5\\cdot(-4)^i$"], ["$s=(-11)+(-19)+(-27)+(-35)+\\ldots+(-107)+(-115)+(-123)+(-131)$", "$s=\\displaystyle \\sum_{i=0}^{15}\\left(-11+i\\cdot(-8)\\right)$"], ["$s=4+8+16+32+\\ldots+2^{30}$", "$s=\\displaystyle \\sum_{i=0}^{28}4\\cdot2^i$"], ["$s=(-9)+(-11)+(-13)+(-15)+\\ldots+(-59)+(-61)+(-63)+(-65)$", "$s=\\displaystyle \\sum_{i=0}^{28}\\left(-9+i\\cdot(-2)\\right)$"], ["$s=(-6)+(-24)+(-96)+(-384)+\\ldots+(-2^{77}\\cdot3)$", "$s=\\displaystyle \\sum_{i=0}^{38}-6\\cdot4^i$"], ["$s=9+15+21+27+\\ldots+87+93+99+105$", "$s=\\displaystyle \\sum_{i=0}^{16}\\left(9+i\\cdot6\\right)$"], ["$s=(-6)+(-18)+(-54)+(-162)+\\ldots+(-2\\cdot3^{13})$", "$s=\\displaystyle \\sum_{i=0}^{12}-6\\cdot3^i$"]],
" <br> ");
</JS>
<HTML>
<div id="exoar_gr_implizit_zu_summe"></div>

</HTML>
<hidden Lösungen>

<HTML>
<div id="solar_gr_implizit_zu_summe"></div>
<div style='font-size:12px;color:gray;'>ruby summe-von-af-gf-explizit-schreiben.rb </div>
</HTML>

</hidden>