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 225

CHAPTER I-ARITHMETICAL OPERATIONS
term and the common difference to 8 times the common diffor. once multiplied by the sum of the series, the common differenco is added, and the resulting quautity is bulved ; and when (again) this is diminished by the first term and then dividel loy the common difference, we get the number of terms in the series.
Th. rule for finding out the number of terms intated) in another manner :--
70. When, from the square ront of the quantity obtained by) the addition of the square of the difference between twice the first term and the common difference to ti differenor multiplied by the sum of the
comes the comman
side the common subtracted, and the resulting quantity is!
pries, the lixeippada in this is divided by the common differs the
" Sulsel; and when again of ternis in the series.
we'm loco, (wo get the number
em in Eramples in /wer of w 71. The first term is 2, rutrulion thereus are increased necessively 1.48
ori, the common difference 8; these two The aims of the three serie der
DN 1 till three (sories are so made up). is the number of tormt ter
Usare 0,276 and 1110, in order. What 72. The firsts of termy. of tho serieparat.jewermix 5. the common differentie 8, and the sum
The led by 533 What is the number of terms? 8, and 08 18 rst term of another series) is 6, the common difference
be sum +20. What is the number of terms? . 81. T' divided be rule for finding out the common difference 13 well as the (prodt term :
73. The sum of the series) (liminished by the adren, and (then) divided by half (the quantity reprehented by tho square
.18 in each sering
of the serieperst jewel
70. Kwjapaila ishnlf of the difference between lwire the hotter and the
difference.. a-0. It is obvious that this the varies the role mentioned in the previous stanzu ply to the font r ent by the introduction of thin kripapuda therein.
73. For adidhand and utturadhana, me noto unor stanza 03 und 14 in this chapter. Symbolically expressed this stanza work out thus
.. ( - 11