Question

Решите :
325*20^n / 4^n +4^n+1

Answer 1

$frac{325cdot 20^{n}}{4^{n}+4^{n+1}} =frac{13cdot 5^2cdot (5^{n}cdot 4^{n})}{4^{n}cdot (1+4)} =frac{13cdot 5^2cdot 5^{n}cdot 4^{n}}{4^{n}cdot 5} = frac{13cdot 5cdot 5^{n}}{1cdot 1} =65cdot 5^{n}\\ili; ; ; ; 13cdot 5cdot 5^{n}=13cdot 5^{n+1}$