Question

va rooooòog repedeee...va dau 5 stele
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Answer 1

Răspuns:

Explicație pas cu pas:

3*4^n*5^n+2 = 3*5^2*(4*5)^n = 3*25*20^2 = 75*20^n

4^n+1 *5^n+2 = 4*4^n*5^2*5^n = 4*5^2 *(4*5)^n = 4*25*20^n = 100*20^n

3*4^n*5^n+2 + 4^n+1 *5^n+2 = 75*20^n + 100*20^n = 175*20^n

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20^n+1 + 5*20^n = 20^n (20 + 5) = 25*20^n

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175*20^n / 25*20^n = 175/25 = 7