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Question Number 85588 by TawaTawa1 last updated on 23/Mar/20

Commented by john santu last updated on 23/Mar/20

$$14,450=\frac{a(4^n-1)}{3}$$$$43,350=a(4^n-1)$$$$a=\frac{43,350}{4^n-1}\Rightarrow 100<\frac{43,350}{4^n-1}<500$$$$\frac{1}{500}<\frac{4^n-1}{43,350}<\frac{1}{100}$$$$\frac{43,500}{500}<4^n-1<\frac{43,500}{100}$$$$$$

Commented by john santu last updated on 23/Mar/20

$$87<4^n-1<435$$$$88<4^n<436$$$${\log }_4\left(88\right)<n<{\log }_4\left(436\right)$$

Commented by TawaTawa1 last updated on 23/Mar/20

$$\mathrm{God}\mathrm{bless}\mathrm{you}\mathrm{sir}.$$$$\mathrm{Does}\mathrm{the}\mathrm{output}\mathrm{agree}\mathrm{with}\mathrm{the}\mathrm{formular}?$$

Commented by jagoll last updated on 23/Mar/20

$$3.229<\mathrm{n}<4.384$$$$\mathrm{n}=4\Rightarrow \mathrm{so}$$$$\mathrm{a}=\frac{43,350}{4^4-1}=170.\mathrm{miss}\mathrm{tawa}$$

Commented by jagoll last updated on 23/Mar/20

$$\mathrm{the}\mathrm{answer}\mathrm{mr}\mathrm{john}\mathrm{is}\mathrm{correct}\mathrm{miss}?$$$$\mathrm{i}\mathrm{think}\mathrm{is}\mathrm{correct}$$

Commented by TawaTawa1 last updated on 23/Mar/20

$$\mathrm{God}\mathrm{bless}\mathrm{you}\mathrm{sir}$$

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