In an AP if mth term is n and the nth term is m, where m not equal to n, find the pth term

In an AP if mth term is n and the nth term is m, where m not equal to

1.	In an AP if mth term is n and the nth term is m, where m not equal to n, find the pth term
Answer» a+(m-1)d=n...case 1a+(n-1)d=m...case 2From 1 and 2(m_n)d=n-mTherefor..d=-1Putting value of of d in 1a+(m-1)-1=na-m+1=na=n+m-1:p th term;a+(p-1)d=n+m-1+(p-1)(-1)=n+m-1-p+1Here..-1 and +1 get cancelled.=n+m-pHence..pth term =n+m-p.