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222-9+11+12:2*14+14 = ? ( )

Toán Lớp 8: Chứng minh: $35^{n+1}$ – $35^{n}$ chia hết cho 34

Toán Lớp 8: Chứng minh: $35^{n+1}$ – $35^{n}$ chia hết cho 34

Comments ( 2 )

  1. $35^{n+1}−35^n $
     $ = 35^n.35 – 35^n$
     $ = 35^n.(35 – 1)$
     $ = 35^n.34$
    Vì $34$ $\vdots$ $34$
    $\Rightarrow$ $35^n.34$ $\vdots$ $34$
    $\Rightarrow$ $35^{n + 1} – 35^n$ $\vdots$ $34$

  2. #tnvt
    35^(n+1)-35^n
    =35^n .35-35^n
    =35^n(35-1)
    =34.35^n
    Mà 34.35^n\vdots 34
    =>35^(n+1)-35^n\vdots34
    ->đpcm

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222-9+11+12:2*14+14 = ? ( )