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CHAPTER II-ARITHMETICAL OPERATIONS.
21
The rule for finding out the vididhana, the uttaradhana and tbe sarvadhana :
63. The ididhawa is the first term multiplient by the number of terms (in the series. The uttarakhand is the product of) the number of terms multiplied by the common difference (and again) multiplied by the half of the number of terme less box one. The sum of these two gives) the surrulhand, ie, the sum of all the terms in the scries; and this sum will be the name as that of a series wbich is characterised by a negative common difference, when the order of the terms in the series in reversed so that the last term is made to be the first term,
The rule for finding the antyethana, the wurdhyadhana and the sarradhana :--
61. The number of terms in the arriva lossche boy www and multiplied by the cominion difference and then combined with the first torm (given the antycellunt. - llall of the sum of
03-64. In the rule of the terms in all withoutically
g i ve WHICH I S
wbtained cling to the litora tre multiple of tho comun lift wonen, the nuts of thin iple bring the teamured by the Rition which thy Kefim term bol in the Nor
d ing to this concepti. wolve to find in to the main the first teemalong with u multiple of the common difference. The wurms of all uchun IN NO found in what in her called the adidhane; the sum of H much multiples of the common difference Corintitute the tawhanu; and the marvaillant which is obtained liv uilding these two mums is of course the sum of the whole mriew. The expronion tyadhana (lenotch the value of the last
t ill en arithmetically pro v o Borice. And marthyadha wa means the value of the middle form which value bowever, coitoond to the arithmetical ban of the first and the lat terminin the series, that when there are 2n + 1 teria in the pink, the volor of the (* + 1)th town in the wadhyadhana, but win there are 2.1 termin in the merica the arithmeticul menn of value of the l and of that of the (n + 1) torm becomes tho madhyadhana. Accordingly weber
(1) Adidhani xa. (2) Uttarad .
l 6) Aniyda (n-1) +
(4) Jodhyadhan
su cuilhan
(1) + (%)
(*)
