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emmasim [6.3K]
3 years ago
5

Zearn m3 l4 math problem please help me

Mathematics
2 answers:
just olya [345]3 years ago
7 0

Answer:

diameter is 5 circomerance is 31.4

Step-by-step

ZanzabumX [31]3 years ago
3 0

Answer:

diameter 5

circumference 15.7

Step-by-step explanation:

Could you mark brainliest please?

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What is the sum of the first 5 terms of geometric series with a1=10 and r=1/5
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\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}\\
----------\\
a_1=10\\
n=5\\
r=\frac{1}{5}
\end{cases}

\bf S_5=10\left( \cfrac{1-\left( \frac{1}{5} \right)^5}{1-\frac{1}{5}} \right)\implies S_5=10\left( \cfrac{1-\frac{1}{3125}}{\frac{4}{5}} \right)
\\\\\\
S_5=10\left( \cfrac{\frac{3124}{3125}}{\frac{4}{5}} \right)\implies S_5=10\cdot \cfrac{781}{625}\implies S_5=\cfrac{1562}{125}
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Answer:

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