$\bf \qquad \qquad \textit{sum of a finite geometric sequence} \\\\ S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ r=\textit{common ratio}\\ ----------\\ r=-0.25\\ a_1=256\\ n=9 \end{cases}$

$\bf S_9=256\left(\cfrac{1-(-0.25)^9}{1-(-0.25)} \right)\implies S_9=256\left( \cfrac{1+0.25^9}{1+0.25} \right) \\\\\\ S_9=256\left( \cfrac{52429}{65536}\right)\implies S_9=\cfrac{52429}{256}\implies S_9=204.80078125$

4 0

3 years ago

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Omar throws a softball from a starting height of 8 feet, with an initial velocity of 18 feet per second. Which of the following

Artist 52 [7]

I can not see your choices but I'm assuming that this equation is what you are looking for: 16t+vt+ho. The other equation 4.9t+vt+ho is used for meters. I apologize if those weren't your choices as once again I can not see them.

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4 years ago

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PLEASE ANSWERRRRRRRRR

chubhunter [2.5K]

Answer:

Step-by-step explanation:

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4 years ago

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Lateral area of a cone is 603 pi cm^2 find the slant height to the nearest tenth￼￼

Lateral area of a cone is 603 pi cm^2 find the slant height to the nearest tenth