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If the mth term of an ap is 1/n and nth term is 1/m ,then prove that the sum of mn terms is (mn+1)/2

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If the mth term of an ap is 1/n and nth term is 1/m ,then prove that the sum of mn terms is (mn+1)/2

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+1 vote
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Best answer

Let a be the first term and d be the common difference of the given A.P. Then,

Subtracting equation (ii) from equation (i), we get

Putting d = 1/mn in equation (i), we get

+3 votes
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= 1/2(mn+1) Hence Prove.

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