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Let `S_n` be the sum of first `n` terms of an A.P. with non-zero common difference. Fine the ratio of first term and common difference if `(S_(n_1n_2))/(S_(n_1))` is independent of `n_1dot`

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The sum of n terms of an arithmetic progression, `Sn = (n/2)(2a+(n-1)d)`
`Skn/Sn= (kn/2)(2a+(kn-1)d)/(n/2)(2a+(n-1)d)`
`= k(2a+(kn-1)d)/(2a+(n-1)d)`
`= k(2a-d+knd)/(2a+nd-d)`
...
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