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If the mth term of an A.P is n and nth term is m, find the rth term. If the mth term of an A.P is n and nth term is m, find the rth term.
let a be the first term,d be common diff. Tn=a+(n-1)d=m Tm=a+(m-1)d=n =>n-a=(m-1)d =>d=n-a/m-1-----------(1) now d also equal to m-a/n-1 =>m-a/n-1=n-a/m-1 on solving for a,we get a=m+n-1-------------(2) put eqn2 in eqn1..we get d=-1 =>Tr=a+(r-1)d puttin values of a and d,we get Tr = m+n-r
let a be the first term,d be common diff.
Tn=a+(n-1)d=m
Tm=a+(m-1)d=n
=>n-a=(m-1)d
=>d=n-a/m-1-----------(1)
now d also equal to m-a/n-1
=>m-a/n-1=n-a/m-1
on solving for a,we get a=m+n-1-------------(2)
put eqn2 in eqn1..we get d=-1
=>Tr=a+(r-1)d
puttin values of a and d,we get Tr = m+n-r
m+n-r is answer i wrote answers but this disgusting site on its own log outs ma accounts so lost whole expaination telling in short solve equation of am and an and get value of a and d d comes -1 and put ar=a+(n-1)d and put values of a and d to get answers
m+n-r is answer
i wrote answers but this disgusting site on its own log outs ma accounts so lost whole expaination
telling in short
solve equation of am and an and get value of a and d d comes -1 and put ar=a+(n-1)d
and put values of a and d to get answers
thnx yr. ansr is correct! Pleaz tell me ur e-mail id or accont o facbook so next time i can ask qustns frm u!
thnx
yr. ansr is correct!
Pleaz tell me ur e-mail id
or accont o facbook
so next time i can ask qustns frm u!
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