B=1-2+2^2-2^3+………….+2^998-2^999+2^1000 mong m.n giúp ạ ,tks

B=1-2+2^2-2^3+………….+2^998-2^999+2^1000
mong m.n giúp ạ ,tks

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  1. $B=1-2+2^2-2x^3+…+2^{1000}$

    $⇒B=1+(-2)+(-2)^2+(-2)^3+…+(-2)^{1000}$

    $⇒-2B=(-2)+(-2)^2+…+(-2)^{1001}$

    $⇒B-(-2B)=1-(-2)^{1001}$

    $⇒3B=2^{1001}+1$

    $⇒B=$$\frac{2^{1001}+1}{3}$ 

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  2. B=1 – 2 + $2^{2}$ – $2^{3}$ +………….+ $2^{998}$ -$2^{999}$ + $2^{1000}$ 

    2B = $2^{1}$ – $2^{2}$ + $2^{3}$ – $2^{4}$+………….  +$2^{999}$ – $2^{1000}$ +$2^{1001}$

    3B= 2B+ B = 1 + $2^{1001}$

    B= $\frac{1 + 2^{1001}}{3}$

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