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Question Number 129496 by zakirullah last updated on 16/Jan/21

Commented by zakirullah last updated on 16/Jan/21

$$(3^{2\mathrm{n}+2}-8\mathrm{n}-9)\mathrm{is}\mathrm{divisible}\mathrm{by}64$$$$\mathrm{by}\mathrm{mathematical}\mathrm{induction}\mathrm{prove}$$$$\cos \alpha +\cos (\alpha +\beta )+\cos (\alpha +2\beta )+..........+$$$$\cos (\alpha +(\mathrm{n}-1)\beta )=\cos (\alpha +\frac{(\mathrm{n}-1)\beta }{2})\times \frac{\sin \left(\mathrm{n}\beta /2\right)}{\sin \left(\beta 2\right)}$$

Commented by zakirullah last updated on 16/Jan/21

$$\mathit{p}\mathit{l}\mathit{e}\mathit{a}\mathit{s}\mathit{e}\mathit{n}\mathit{e}\mathit{e}\mathit{d}\mathit{h}\mathit{e}\mathit{l}\mathit{p}\upuparrows \downdownarrows$$

Commented by abdurehime last updated on 16/Jan/21

$$\mathrm{sir}\mathrm{how}\mathrm{to}\mathrm{eliminate}\mathrm{the}\mathrm{which}\mathrm{is}\mathrm{written}\mathrm{vertically}?\mathrm{i}.\mathrm{e}\mathrm{tink}\mathrm{i}\mathrm{iara}.\mathrm{com}?????$$

Commented by Tinku Tara last updated on 16/Jan/21

$$\mathrm{Use}+\mathrm{button}\mathrm{to}\mathrm{write}\mathrm{your}\mathrm{question}$$$$\mathrm{TINKUTARA}\mathrm{mark}\mathrm{will}\mathrm{not}$$$$\mathrm{appear}\mathrm{on}\mathrm{typed}\mathrm{posts}.$$$$\mathrm{Removing}\mathrm{water}\mathrm{mark}\mathrm{requires}\mathrm{premium}.$$

Commented by zakirullah last updated on 16/Jan/21

$$\mathrm{you}\mathrm{are}\mathrm{the}\mathrm{great}\mathrm{man}\mathrm{sir}?$$$$\mathrm{you}\mathrm{clear}\mathrm{a}\mathrm{big}\mathrm{problum}.$$

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