( <^75 ) 
Ex. I. InvenienJa fit fumma novem terminorum Se- 
riei — , — , -f, 4* hoc cafu h=:z. a 
2 ^ o lo ^ 
( = ^ — l) ~I, p-\-l =:^, p=zS, A=J, Bz=t, 
C=:o, — P=&ct adeoque» = i, (quoniam funtduo 
•^yB,) Hinc fit a (r= A) — \,b (= h a\- B — ^ 
= 3, c {^ffh A h B ^C— o) 
= 4 = r, Adeoque per formulam fit fumma qusfica 
l+3X8-f i« — I — I x8 
2’ fiz’ 
Ex. Quaeratur fumma fex terminorum Serici i x J 
+ 3 X3^ 4- 6 X 3H" X X3^-l-2-i X3^+c^r. 
In hoc cafu funt ^ = y, q~ zi|, p -\- i z=:6, p = s, 
Az=i, B—z, C=r, D ~o = E=&c. adeoque 
» = 3 , atque4=i, i=‘ +x = i. f==i+-|-|- 
1=:—, d—-^ Unde fumma qux- 
9 ^7 9 ‘ 3 27 
fitai fit = 19956. five 
2+f XS-f fx5X^+- 
II i 4 4 
X^-^+ jX5-yX?X ^ 
8 
3 ' ^ 
Cor. I. Ejufdem Seriei, a termino primo y in infini- 
tum continuatse, fumma exhibetur per formulam fim* 
plicifTimam + ==^ -f ==3 -1* 
h — i h — i| b — ij h — l| 
Com, Si =: X , Seriei totius in infinitum continua- 
tae fumma habetur fbl^ additions terminorum A, B, 
C, D, ^c. Et base fumma eadem eft ac fumma line£e 
eredtas refpondentis termino primo A, in Triangulo 
Arithmetico, cujus lineam tranfverfam occupant Nume- 
P p p p p latoros 
