Question

Exercițiul 3 va rog!

Answer 1

$E = {2}^{2n + 3} \times {25}^{n} - {4}^{n} \times {5}^{2n}$

$E = {2}^{2n + 3} \times {5}^{2n} - {2}^{2n} \times {5}^{2n}$

$E = {2}^{2n} \times {5}^{2n} ( {2}^{3} - 1)$

$E = {2}^{2n} \times {5}^{2n} (8 - 1)$

$E = {2}^{2n} \times {5}^{2n} \times 7 \: \: \: \vdots \: \: \: 7 \: \: \: ,\forall \: n \: \in \: \mathbb{N}$