General AP determined by two terms for JEE

Formula

\(d=\frac{a_q-a_p}{q-p},\quad a=a_p-(p-1)d\)

Variables: \(a\): first term, \(d\): common difference, \(a_p,a_q\): pth and qth terms.

Conditions: For an AP with \(p\ne q\).

Reconstructing an AP from two given terms.