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| rev | Admin | (Created page with "'''Solution: C''' <math display="block"> \begin{aligned} 77.1 & =1 v^2+2 v^3+3 v^4+\cdots+n v^{n+1}+n\left(v^{n+2}+\ldots\right)=v(I a)_{\overline{n} \mid}+n v^{n+1} a_{\overline{\infty} \mid} \\ & =v \frac{\ddot{a}_{\overline{n} \mid}-n v^n}{i}+n v^{n+1} \frac{1}{i} \\ & =\frac{a_{\overline{n} \mid}-n v^{n+1}}{i}+\frac{n v^{n+1}}{i}=\frac{a_{\overline{n} \mid i}}{i} \\ & =\frac{1-v^n}{i^2} \end{aligned} </math> Thus <math>v^n=1-77.1\left(i^2\right)</math> so <math d...") | Nov 26'23 at 21:45 | +815 |