Question

2^n×4+2^n×2+2^n;A e divizibil cu 5 BA DECI VA DAU 100 puncte PUNCTE​

Answer 1

Răspuns: Demonstratia e mai jos

Explicație pas cu pas:

Salutare!

$\bf A = 2^{n}\cdot 4+2^{n} \cdot 2 - 2^{n}$

$\bf A = 2^{n}\cdot(2^{n-n}\cdot 4+2^{n-n} \cdot 2 - 2^{n-n})$

$\bf A = 2^{n}\cdot(2^{0}\cdot 4+2^{0} \cdot 2 - 2^{0})$

$\bf A = 2^{n}\cdot(1\cdot 4+1 \cdot 2 - 1)$

$\bf A = 2^{n}\cdot( 4+2 - 1)$

$\bf A = 2^{n}\cdot 5 \implies A\:\: \vdots\:\:5$

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