Ganitasara Sangraha of Mahavira

SR No.: 011112
Original Sutra Author: N/A
Author: Rangacharya
Publisher: Rangacharya
Publication Year: 1912
Total Pages: 531
Language: English
Classification: Book_English
File Size: 24 MB

Page 246

GANITASĀRASANGRAHA.
required series) is (taken to be). The sum of the required series is of the same value (). Find out, o friend, the first term and the common difference (of the required series).
31. The first term is twice the common difference (which is taken to be 1); the number of terms is (taken to be) it. The sum of the required series is 7. Find out the first term and the common difference.
32. The first term is 1, the common difference is and the number of torms common (to both the given as well as the required series) is taken to be). The sum of the required series is ** Give out the first term and the common difference of the required series)
The role for finding out the number of torms in a series in arithmetioal progression)
33. When, to the square root of the quantity obtained by) the addition, of the square of the difference between the half of the oommon difference and the first term, to twice the common difference multiplied by the sum of the series, half the common difference is added, and when this sum is) diminished by the first term, and (thun) divided by the common difference, (we get) the number of terms in the series.
He (the author) states in another way (the role for finding out) the same number of terms) :
34. When, from the square root of the quantity obtained by) the addition, of the square of the difference between the half of the common difference and the first term, to twioe the common differenoe multiplied by the sum of the series, the ksēpapada is subtracted, and whon (this resulting quantity is) divided by the common difference, (we get) the number of terms in the series.
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✓ 2 det ) 88. Symbolically expressed, - 60, in Chap. II.
84. Por kipapada, see note under 70 in Chap. II.
Cf. not under