Salut! =)
2¹ × 2² × 2³ × ...... × 2¹⁰⁰⁴
2¹⁺²⁺³⁺ ⁺ ¹⁰⁰⁴
1 + 2 + 3 + ... + 1004
Folosim formula sumei Gauss :
1 + 2 + 3 + ... + n , n = ?
= [tex]\frac{n ( n + 1 ) }{2}[/tex]
1 + 2 + 3 + ... + 1004 = [tex]\frac{1004 ( 1004 + 1 ) }{2 \\} = \frac{1004 * 1005}{2} =502 * 1005[/tex] = 504510
2¹⁺²⁺³⁺ ⁺ ¹⁰⁰⁴ = 2⁵⁰⁴⁵¹⁰
Bafta! =)
