-! *’-'+ " T=Y^2-�}r1T= J f}^+ �^�1(p+l)p(p-D(p-2) , 1.2.3t .4 ....^(p+l)x�l. n n ni fn-1-- Dd og heraf: n^1 ~^^^^(x-l)(x^-(x~ly)^^{^-^~~^-l-{ -l i il i. . 6 - nxv P (P+DP^-1 i (P+Dp(p-1) p_2 1.2 T 1.2.3
+ !��lMP=l)xf-.-�+�P(p--^i^x,-3+ . . .
i(
Heraf faaes da videre:
ix- +pix. = (p+ I)2* -�* +(P^xP-. - S�l2|fcMiit-4 1./.u � i 1 1 og:
-pl^-t-p+lAf denne Formel udledes de suecessive Sumtneformler for Tallene, Qvadrat tallene, Cubiktallene, o. s. v. Man faaer da:
v iioioi^L i n2 --- Jsx =I+2 + 3 + 4 + . . . +n = - + n n(n-f-l) n n 3n n n 3 nfn-l-ll n 2x�=l�+ 2H-32+42 -h � � �+ n2 = � +i . 2 sx-- J^ 2nM-3n24-n_ n(n+l)(2n+l) 2.3 ~~ 1.2.3
iW- in _|_ 2 3 4- 33 -f- 43 -f ���+ n = tV^.3 ix2 - I.BIx +y =. 3 i4t * i 4 n 4 3 2n 3-f3n2-f-n n2~f-n ,ja 4+ ’r 2.3 �: 2~ + 4 n 4+2n3+n2 /n(n+l)
