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Question Number 85546 by TawaTawa1 last updated on 22/Mar/20

Commented by TawaTawa1 last updated on 23/Mar/20

$$\mathrm{Given}\mathrm{that}\mathrm{the}\mathrm{sum},\mathrm{S},\mathrm{of}\mathrm{a}\mathrm{geometric}\mathrm{series}\mathrm{with}\mathrm{a}\mathrm{common}$$$$\mathrm{ratio}4\mathrm{is}14,450.\mathrm{Calculate}\mathrm{the}\mathrm{value}\mathrm{of}\mathrm{the}\mathrm{starting}\mathrm{value}$$$$\mathrm{of}\mathrm{the}\mathrm{series}\mathrm{if}\mathrm{it}\mathrm{is}\mathrm{an}\mathrm{integer}\mathrm{and}\mathrm{lies}\mathrm{between}100\mathrm{and}500.$$$$\mathrm{Does}\mathrm{your}\mathrm{answer}\mathrm{agree}\mathrm{with}\mathrm{output}\mathrm{of}\mathrm{the}\mathrm{formular}\mathrm{for}\mathrm{the}$$$$\mathrm{sum}\mathrm{of}\mathrm{a}\mathrm{geometric}\mathrm{series}\left(\mathrm{given}\mathrm{below}\right)?.\mathrm{Show}\mathrm{your}\mathrm{workings}$$$$\mathrm{out}\mathrm{bearing}\mathrm{in}\mathrm{mind}\mathrm{that}\mathrm{you}\mathrm{camnot}\mathrm{use}\mathrm{the}\mathrm{formular}\mathrm{to}\mathrm{find}$$$$\mathrm{the}\mathrm{value}\mathrm{of}\mathrm{a}.$$$$\mathrm{S}=\frac{\mathrm{a}({\mathrm{r}}^{\mathrm{n}}-1)}{\mathrm{r}-1}$$

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