if sum of first m term of an AP is the same as the sum of first n term of Ap then prove that sumof (m+n) term us equal to zero
MridulAhi1234:
if sum of m terms of AP is n and sum of n terms of AP is m, then the sum of m+n terms of the AP is 0!*
sum of m terms of an AP can't be equal to sum of n terms of the same AP until m=n or d=0
d=a=0*
no, sorry
it is possible
like in series 1,0,-1
how to prove it
tell me in detail
idk
finding a way to prove it
Answers
Answered by
3
Hi it's something like this
Sm = Sn
m/2 (2a+m-1)d = n\ 2 (2a+n-1 )d
m(2a+m-1)d -n (2a+n-1)d =0
2am+m^2-m-2an-n^2-n) d= 0
2a (m-n) + (m+n) (m-n) m+n.)d = 0
a+ m+n-1) d = 0
Sm = Sn
m/2 (2a+m-1)d = n\ 2 (2a+n-1 )d
m(2a+m-1)d -n (2a+n-1)d =0
2am+m^2-m-2an-n^2-n) d= 0
2a (m-n) + (m+n) (m-n) m+n.)d = 0
a+ m+n-1) d = 0
you vedansh are u from Delhi
Answered by
2
Hope it helps
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at end, I mistakenly wrote d(m+n)-1, it is d(m+n-1)
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