1.
Let a1,a2,a3,a_1, a_2, a_3, \ldots be an A.P. such that a1+a2++apa1+a2+a3++aq=a6a21\dfrac{a_1 + a_2 + \cdots + a_p}{a_1 + a_2 + a_3 + \cdots + a_q} = \dfrac{a_6}{a_{21}}, where pqp \neq q. Then a6a21\dfrac{a_6}{a_{21}} is equal to: