Summenzeichen II
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Exercise:
Stelle die Summen mit einem Summenzeichen dar. abcliste abc displaystyle x_+x_+x_+x_+x_ abc displaystyle +++...+ abc displaystyle frac+frac+frac+...+frac abc displaystyle +++...+ abc displaystyle a_+a_+a_+...+a_ abc displaystyle b_-b_+b_-...+b_ abc displaystyle +++...++ abc displaystyle y_+y_+y_+...+y_m abc displaystyle +++++ abc displaystyle z_+z_^+z_^+...+z_^ abc displaystyle frac+frac+frac+frac+... abc displaystyle +++++...+ abcliste
Solution:
abcliste abc displaystyle x_+x_+x_+x_+x__k^ x_k abc displaystyle +++...+_k^ k abc displaystyle frac+frac+frac+...+frac_k^ frackk+ abc displaystyle +++...+_k^ k abc displaystyle a_+a_+a_+...+a__k^ ka_k abc displaystyle b_-b_+b_-...+b__k^-^k+b_k abc displaystyle +++...++_k^k^ abc displaystyle y_+y_+y_+...+y_m_k^m y_k abc displaystyle +++++_k^ ^k abc displaystyle z_+z_^+z_^+...+z_^_k^ z_k^k abc displaystyle frac+frac+frac+frac+..._k^inftyleftfracright^k abc displaystyle +++++...+ _k^k- abcliste
Stelle die Summen mit einem Summenzeichen dar. abcliste abc displaystyle x_+x_+x_+x_+x_ abc displaystyle +++...+ abc displaystyle frac+frac+frac+...+frac abc displaystyle +++...+ abc displaystyle a_+a_+a_+...+a_ abc displaystyle b_-b_+b_-...+b_ abc displaystyle +++...++ abc displaystyle y_+y_+y_+...+y_m abc displaystyle +++++ abc displaystyle z_+z_^+z_^+...+z_^ abc displaystyle frac+frac+frac+frac+... abc displaystyle +++++...+ abcliste
Solution:
abcliste abc displaystyle x_+x_+x_+x_+x__k^ x_k abc displaystyle +++...+_k^ k abc displaystyle frac+frac+frac+...+frac_k^ frackk+ abc displaystyle +++...+_k^ k abc displaystyle a_+a_+a_+...+a__k^ ka_k abc displaystyle b_-b_+b_-...+b__k^-^k+b_k abc displaystyle +++...++_k^k^ abc displaystyle y_+y_+y_+...+y_m_k^m y_k abc displaystyle +++++_k^ ^k abc displaystyle z_+z_^+z_^+...+z_^_k^ z_k^k abc displaystyle frac+frac+frac+frac+..._k^inftyleftfracright^k abc displaystyle +++++...+ _k^k- abcliste