In an A.P., prove that \( d=\mathrm{S}_{n}-2 \mathrm{~S}_{n-1}+\mathrm{S}_{n-2} \).

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In an A.P., prove that \( d=\mathrm{S}_{n}-2 \mathrm{~S}_{n-1}+\mathrm{S}_{n-2} \).
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