Book Title: Contribution of Mahaviracharya in the
Author(s): R S Lal
Publisher: Z_Deshbhushanji_Maharaj_Abhinandan_Granth_012045.pdf
View full book text
________________ where Son - S, + S, + Sg + Sa + ... + Sn and s = Ar) = xn i.e. Es. = ZEn = [{ 2n-10 + 2 + 1 }(n-)+1 (1+10] " Since a = d = 1 in the formula , [{ (23) + 2 + aa } (n--1)+ au+1)] Examplel : सप्तकृतेः षट्षष्ट्यास्त्रयोदशानां चतुर्दशानां च / पंचायविंशतीनां किं स्यात संघातसंकलितम् // "What would be the (required) collective sum in relation to the (various) series represented by (each of) 49, 66, 13, 14 and 25 ?" Solution : The above given values are the number of terms in the five series. Hence for the first series in which n = 49. Required sum = ((n+32 " + 1 ) nt + n) = ( (99 +3) x 49 +1 ) (499 + 499 = ( 52 x 49 +1) x 49 (49 + 1) = [13 x 49 + 1] x 49 x 50 = [ 637 +1] x 2450 -- 638 X 2450 - 1563100. 1. Gss 6 _171 310 .. आचार्यरत्न श्री देशभूषण जी महाराज अभिनन्दन ग्रन्थ Jain Education International For Private & Personal Use Only www.jainelibrary.org
