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Question

If the A.M. between pth and qth terms of an A.P. is equal to the A.M. between rth and sth terms of the A.P., then which of the following is true

A
p+q=r+s
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B
pq=rs
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C
pr=qs
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D
p+r=q+s
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Solution

The correct option is A p+q=r+s
Given 12(tp+tq)=12(tr+ts)a+(p1)d+a+(q1)d=a+(r1)d+a+(s1)d(p1+q1)d=(r1+s1)dp+q=r+s

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