If the p^{th} term of an A.P. is q and the q^ | vedclass

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(B) Given that,the $p^{th}$ term is $T_p = a + (p - 1)d = q$ ..... $(i)$And the $q^{th}$ term is $T_q = a + (q - 1)d = p$ ..... $(ii)$Subtracting equa

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$p + q - r$

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(B) Given that,the $p^{th}$ term is $T_p = a + (p - 1)d = q$ ..... $(i)$And the $q^{th}$ term is $T_q = a + (q - 1)d = p$ ..... $(ii)$Subtracting equation $(ii)$ from $(i)$,we get $(p - q)d = q - p$,which implies $d = -1$.Substituting $d = -1$ into equation $(i)$,we get $a + (p - 1)(-1) = q$,so $a = p + q - 1$.Now,the $r^{th}$ term is given by $T_r = a + (r - 1)d$.Substituting the values of $a$ and $d$,we get $T_r = (p + q - 1) + (r - 1)(-1) = p + q - 1 - r + 1 = p + q - r$.Thus,the $r^{th}$ term is $p + q - r$.

If the $p^{th}$ term of an $A.P.$ is $q$ and the $q^{th}$ term is $p$,then its $r^{th}$ term will be:

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