BINOMNI KOEFICIJENTI
BINOMNI KOEFICIJENTI
BINOMNI KOEFICIJENTI
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
<strong>BINOMNI</strong> TEOREM<br />
Nekoliko jednostavnih posljedica binomnog teorema:<br />
Teorem 8<br />
(i)<br />
(ii)<br />
(iii)<br />
( ) ( ) ( ) ( ) ( )<br />
n n n n<br />
n∑ n<br />
+ + + . . . + = = 2 n<br />
0 1 2 n k<br />
k=0<br />
( ) ( ) ( ) ( ) ( )<br />
n n n<br />
− + − . . . + (−1) n n<br />
n∑<br />
= (−1) k n<br />
= 0<br />
0 1 2<br />
n<br />
k<br />
k=0<br />
( ) ( ) ( ) ( ) ( ) ( )<br />
n n n n n n<br />
+ + + . . . = + + + . . . = 2 n−1 .<br />
0 2 4 1 3 5<br />
() 21. studenog 2011. 18 / 27