If Sn denotes the sum of …
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Sia ? 6 years, 6 months ago
{tex}{\mathrm T}_\mathrm n\;=\;{\mathrm S}_\mathrm n\;-\;{\mathrm S}_{\mathrm n-1}{/tex}
{tex}{\mathrm T}_{\mathrm n-1}\;=\;{\mathrm S}_{\mathrm n-1}\;-\;{\mathrm S}_{\mathrm n-2}{/tex}
{tex}{\mathrm S}_\mathrm n\;-\;2{\mathrm S}_{\mathrm n-1}\;+\;{\mathrm S}_{\mathrm n-2}\;=\;{\mathrm S}_\mathrm n\;-\;{\mathrm S}_{\mathrm n-1}\;-\;{\mathrm S}_{\mathrm n-1}\;+\;{\mathrm S}_{\mathrm n-2}{/tex}
= {tex}({\mathrm S}_\mathrm n\;-\;{\mathrm S}_{\mathrm n-1})\;-\;({\mathrm S}_{\mathrm n-1}\;-\;{\mathrm S}_{\mathrm n-2}){/tex}
= {tex}({\mathrm T}_\mathrm n\;-\;{\mathrm T}_{\mathrm n-1}){/tex}
= d
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