CHAPTER II-ARITHMETICAL OPERATIONS 12 and 16 (respectively). In connection with another (similar series), the first term and the other things are 5, 5, 200 and 100 (in order). Say what the sums are of the (corresponding) remainder-series 1 37 113 The number of terms (in a series in arithmetical pro- gression) is 216; the common difference is the first ten is 14; 37 is the chosen-off number of terms (to be removed) Find the sums both of the remainder-series and of the chos n-off part (of the given stries). 114. The first term (in a given series in arithmetical progres- sion) is, in this (problem), (4; the common difference is minus ; the number of terms is 16. What are the sums of the remainder- series when the chosen-off numbers of terms are 7, 9, 11 and 12? Examples on vyutkalita in respect of a geometrically progressive series. 115. Where (in the process of reckoning of the fruits on trees in serial bunches), 4 happens to be the first term, 2 the common ratio, and 16 the number of terms, while the chosen-off number of terms (removed) are 10, 9, 8, 7, 6, 5 and 4 (respectively)- there, say, O you who know arithmetic and have penetrated into the interior of the forest of practical mathematical operations, (the interior) wherein wild elephants sports-(there say) what the total of the remaining fruits is on the tops of the various good trees (dealt with therein). Thus ends vyutkalite, the eighth of the operations known as Pariharman. Thus ends the first subject of treatment known as Parikarman in Sarasangraha, which is a work on arithmetic by Maha virācārya. 115 In this problem, there are given 7 afferent fruit trees, each of w ich has 16 bunchies of fruits The lowest bunch on cach tree has fruits, the fruits in the higher bunches are geometrically progressive in muales, the common tatio being 2; and 10, 9, 8, 7 6,5 nd 1 present the numbers of the bunches removed from below moder from the 7 threes We have to find out the total of the remaining fruits on the top of the various good trees". Maltibhart- kridata, as it occurs in this stanza, is the name of the mette in which it is composed, at the same time that it means the sporting of wild elephants.
