CBSE Class 12-commerce Answered
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Asked by as9247555 | 19 May, 2020, 08:02: AM
Expert Answer
Question: If pth term of a HP is qr and its qth term is pr then its rth term will be pq.
Proof:
Let H.P. be 1/a , 1/(a+d) , 1/(a+2d),....
Given a+(p-1)d = 1/qr
and a+(q-1)d = 1/pr
Solving for a and d we get a = -1/pqr and d = 1/pqr
Therefore, a+(r-1)d= -1/pqr + (r-1)(-1/pqr) = 1/pq
Hence, the rth term of H.P. will be 1/(a+(r-1)d) = pq
Answered by Renu Varma | 19 May, 2020, 09:38: AM
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