Sn=m , Sm=n find Sm+n . …

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Gaurav Seth 5 years ago
Let a is the first term and d is the common difference .
d%5D%5C%5C%5C%5CS_m%3Dn%3D%5Cfrac%7Bm%7D%7B2%7D%5B2a%2B(m-1)d%5D)

d%5D%20%5C%5C)
(m - n) = -2a(m-n)/2 -(m-n)(m+n)/2+(m-n)d/2
1 = -2a/2 - (m+n)/2 + d/2
1 = -1/2 {2a + (m+n-1)d} ---------(1)
from equation (1)
S_{m+n} = -(m+n)
3Thank You