If mth term of an AP is n and nth term is m then prove that (m+n) is 0.
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Answer:
Step-by-step explanation:
Mterm=a+(m-1)d=n
Nth term =a+(n-1)d=m
Mam=Nan
M[a+(m-1)d]=n[a+(n-1)d]
Bring nth term on other side then
A(m-n)+{m(m-1)-n(n-1)}d=0
A(m-n)+{(msq-nsq)-(m-n)}d=0
(M-n){a+(m+n-1)d}=0
A+(m+n-1)=0
Am+n=0
Hence proved.
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