Question

Ajutoor imi dau toate punctele

Answer 1

A= 4^n × 5^2n+1 − 2^2n ×25^n

A= 2^2n × 5^2n ×5 − 2^2n × 5^2n =

A= 10^2n × 5 − 10^2n

A= 10^2n × ( 5-1) =

A= 10^2n × 4

A= (10^n)² × 2² =

A= (10^n × 2) ² =  patrat perfect

B)= √A = 10^n×2

10 la orice puterea  sa divide cu 10

Doar 10^0 = 1

Deci n= {0}