Question

Sa se verifice egalitatea:
2^2002 - 2^2001-2^2000-...-2-2^0-1=0

Answer 1

$2^{2002} - 2^{2001} = 2^{2001} (2-1)=2^{2001} \\ 2^{2001}- 2^{2000}= 2^{2000} (2-1)= 2^{2000} \\ ....... \\ ....... \\ 2-1=1 \\ 1-1=0$