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Denysuk
user (0)
Pe: 2007-11-13T19:54:21+02:00

sume

2+2la patrat+…………..+2la puterea 2005

2 raspunsuri

  1. user (0)

    Daca ai invatat progresiile geometrice poti aplica formula sumei primilor n termeni ai unei progresii geometrice. Daca nu, poti rezolva astfel:

        \[ \begin{array}{l} \left. {S = 2 + 2^2 + 2^3 + ... + 2^{2004} + 2^{2005} } \right|*2 \Rightarrow \\ \Rightarrow 2S = 2^2 + 2^3 + ... + 2^{2005} + 2^{2006} \Rightarrow \\ \Rightarrow 2S = \underbrace {2 + 2^2 + 2^3 + ... + 2^{2005} }_S + 2^{2006} - 2 \Rightarrow \\ \Rightarrow 2S = S + 2^{2006} - 2 \Rightarrow \\ \Rightarrow S = 2^{2006} - 2 \\ \end{array} \]

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  2. profesor

    Denysuk wrote: 2+2la patrat+…………..+2la puterea 2005


    Este suma termenilor unei progresii geometrice de ratie q=2.
    Vrei sa-ti dam formula sau o cauti singur in manual?

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