TRACT 28.

AND INFINITE SERIES.

111

a = i A

y - ■ br c

= -3333333

= 1931

ffl

II

QU?

= -0049383

e — if E

= 6

$ — d

= 97

the second

+ '3335270- 'C049480

•3285790 - - - -

3/25

series ± -27525513 -

— -0049480

log. 1 '5166398

- - 7-9230956

- - T4397354

the greatest root + 1 ■'72474487

middle root 2'00000000

least root 1'44948974

112. But, by Art. 61, these three roots were found to he2 and — 1 ± 6 ; which being compared with the series be-longing to this case, we find

^/6+l_., | 2.2 2.5.8.2” 2.5.8.11.14.23 „

21/5 — + 3 . 6 . 25 ~ 3.6, 9 . 12.25*’’"3 . 6 . 9 . 12 . 15 . 18.253 &C ’

3/25 = i - + 2 'M'”' 2 ’ _ &c.

4 v 3 3 . 6 . 9.25 '3 . 6 . 9 . 12 . 15 . 25”

113. Ex. 7. In the equation ^3 _ 12 jt = 9, we have — 4,b — -§-, and c ! = S T ‘ — 64 = — 1 % S , which being negative,and greater than b l , we shall have 3 real roots by the seriesin Art. 98.

Now = W5’ V? = Wo and

Then

)