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If the m^(t h) term of an A.P. is 1/n an...

If the `m^(t h)` term of an A.P. is `1/n` and the `n^(t h)` terms is `1/m ,` show that the sum of `m n` terms is `1/2(m m+1)dot`

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Let `a` be first term and `d` be the common difference of an `AP`
`mth` term`=1/n`
so,
`a_m​=a+(m−1)d=1/n .........(1)`
`nth` term`=1/m `
`a_n​=a+(n−1)d=1/m ........(2)`
...
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