Question

Biết n!=1.2.3..n.Tính 1.1!+2.2!+3.3!+4.4!+5.5!=

Answer 1

1.1!+2.2!+3.3!+4.4!+5.5! 

= (2-1).1! + (3-1).2! + (4-1).3! + (5-1).4! + (6-1).5! 

= 2! - 1! + 3! - 2! + 4!-3! + 5! - 4! + 6! - 5! 

= 6! - 1!

= 720-1

= 719

Answer 2

1!+2.2!+3.3!+4.4!+5.5! 
=(2-1).1!+(3-1).2!+(4-1).3!+ 
(5-1).4!+(6-1).5! 
=2!-1!+3!-2!+4!-3!+5!-4!+6!-5! 
=6!-1!=720-1=719