Question

Va rog!Dau coroana si 15 puncte.​

Answer 1

Răspuns:

Explicație pas cu pas:

1/1*2 = 1/1 - 1/2

1/2*3 = 1/2 - 1/3

1/3*4 = 1/3 - 1/4

..............

1/2006*2007 = 1/2006 - 1/2007

_________________

1/1*2 + 1/2*3 + 1/3*4 + ... + 1/2006*2007

= 1/1 - 1/2 + 1/2 - 1/3 + 1/3 - 1/4 + ... + 1/2006 - 1/2007

= 1/1 - 1/2007 = 2007/2007 - 1/2007 = 2006/2007

a = 2006/2007 + n/2007 = (2006 + n)/2007

cel mai mic patrat perfect este 1

(2006 + n)/2007 = 1

2006 + n = 2007

n = 2007 - 2006 = 1