Let a1,a2,a3,... be the terms of an A.P. If a1+a2+...+apa1+a2+...+aq=p2q2;p≠q, then a6a21 is equal to
A
4111
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B
72
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C
27
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D
1141
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Solution
The correct option is D1141 Given : a1+a2+...+apa1+a2+...+aq=p2q2 ⇒p2[2a1+(p−1)d]q2[2a1+(q−1)d]=p2q2⇒2a1+(p−1)d2a1+(q−1)d=pq⇒[2a1+(p−1)d]q=[2a1+(q−1)d]p⇒2a1(q−p)=d[(q−1)p−(p−1)q]⇒2a1=d