5 a Mr. waring on the General 
then will x n — nabpx V ~ 1 ' " * 3 
■ 77. 
2 X 2 £ 
aWp l x n - b +n^ g ~ 6 » ”~ 7 a'byx n - % -&c.=a n p+ b n p n ~\ 
* 2 3 4 
5. II. Let x~atyp + bVp n \ and 72 an even number. 
then will A'” - nabpx ” x + n. — - d L b r p*x 
n JZl n'h'tfv*—* - n , "~ 4 ., 
»-s 
a i b' i p i x n 6 + n. 
a — (J a — 6, 7- 
3 2 3 4 
ft n n 
a'byx”-* - &x. = «7> ^ 
n n n 
<2,a z b 1 p 1 +b n p n 1 ; it will be + 2 a*b z p* if /7 = 41* + 2 
n 11 n 
but — 2 eddy if » = 47% 
6. I. Let x-a\Zp+biyp n ~% and n an odd number, 
which has not the number 3 for a divilor, then will 
x n —na r bpx n ~~' ! ‘ + n. > d~-a*b*p ! 'x n ~^ f> - n. 
n . — . — —-d i byx n ~ l% 
234^ 234s 
a 10 byx”- ls + n. ~p. a'-'&tytf-* - Sec. 
(to m terms, where m is the number either equal to, or 
« 4 - x H — I « — 3 
lz2. n Jildbp V 9 + 
2 3 
n-r-11 a— 12 n — iy n — i 4 
4 
the lead greater than — ) - ab * p * (ax * + 
1 »-s *-7 
— • — — — 
3 V 
**z^r + 1 / 7 . ^ 2 . LZL. y=21 aWfx^r + L x 77 . H2. 
* 2 4 2 3 4 5 *- 2 6 2 
7 t— 1 1 «— 13 a— iC a— 17 a— 19 6 7,7 iL 2 • , I a— II a— 13 »-if 
-* — — — • — z ao l p z x 2 +—.xn» * — -■« — - 
•a A £ CY *7- A 9* » /» ^ 
:~i 7 «-x 9 a — 21 n—2 3 *-25-8^4 
» — 27 
S 6 7 
a a«- 2 
a by x a + 8 cc.) = a = a”p+ 
b n p 
Let a be an odd number divifible by 3, then will the 
above- 
