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Tom2703
@Tom2703
April 2019
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Bonjour, c'est sur les equations, quelqu'un peut m'aider svp ? merci :-)
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2^1+2^1=4=2^2
2^2+2^2=8=2^3
2^3+2^3=16=2^4
2^(-1)+2^(-1)=1=2^0
2^(-2)+2^(-2)=1/2=2^(-1)
2^(-3)+2^(-3)=1/4=2^(-2)
Pour tout entier n : 2^n+2^n=2^(n+1)
Preuve :
2^n+2^n=2*2^n=2^1*2^n=2^(n+1)
En revanche cette propriété est fausse avec 3^n+3^n ou 4^n+4^n
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2^2+2^2=8=2^3
2^3+2^3=16=2^4
2^(-1)+2^(-1)=1=2^0
2^(-2)+2^(-2)=1/2=2^(-1)
2^(-3)+2^(-3)=1/4=2^(-2)
Pour tout entier n : 2^n+2^n=2^(n+1)
Preuve :
2^n+2^n=2*2^n=2^1*2^n=2^(n+1)
En revanche cette propriété est fausse avec 3^n+3^n ou 4^n+4^n