________________
wheres
- S
+S+s, +S+ ... + S.
ands. = Art!) = xn i.t. LS. = EZn = [{ (2n-1 + 2 + 1 }(n-1)+1 (1+19] :
Since a = d = 1 in the formula = [{ (27--1) 2 + 2 + at } (n-1)+aa+1)]
Examplel :
सप्तकृतेः षट्षष्ट्यास्त्रयोदशानां चतुर्दशानां च । पंचानविंशतीनां किं स्यात् 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 = (+32 + 1) (ne + n)
= ( (49 + 3) x 49 + 1 ) (49 + 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
3 101
५६
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