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soldi70 [24.7K]
3 years ago
15

Please help me give Brain

Mathematics
1 answer:
lesya [120]3 years ago
8 0

Answer:168

Step-by-step explanation:

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Study the geometric sequence {-4, -84, -1764, -37044, ...}.
Nonamiya [84]

Answer:

              \bold{a_n=(-4)21^{n-1}}

Step-by-step explanation:

a_1=-4\,,\ a_2=-84\,,\ a_3=-1764\,,\ a_4=-37044\quad\implies\ \ r=21

{-84:(-4)=21 and -1764:(-84)=21 and -37044:(-1764)=21}

geometric sequence formula:   a_n=a_1r^{n-1}

a_1=-4\quad and \ \ r=21

a_n=(-4)21^{n-1}

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olganol [36]

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Step-by-step explanation:

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Mice21 [21]
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~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ y = a(x-0)^2+0\qquad \stackrel{\textit{we also know that}}{x=2\qquad y = 1}\qquad \implies 1=a(2-0)^2+0 \\\\\\ 1=4a\implies \cfrac{1}{4}=a~\hspace{10em} \boxed{y=\cfrac{1}{4}x^2}

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