Someone please help me solve this. I’ve tried solving it l but my answer is always wrong

Mathematics

1 answer:

sergij07 [2.7K]3 years ago

7 0

Answer:

I think it is 636 pounds

Step-by-step explanation:

if I'm right plz give me brainliest

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The population of a local species of dragonfly can be found using an infinite geometric series where a1=42 and the common ratio

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$\bf \textit{sum of an infinite geometric serie}\\\\
\stackrel{for~~|r|\ \textless \ 1}{S=\sum\limits_{i=0}^{\infty}~a_1r^i\implies \cfrac{a_1}{1-r}}\qquad 
\begin{cases}
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=42\\
r=\frac{3}{4}
\end{cases}
\\\\\\
S=\cfrac{42}{1-\frac{3}{4}}\implies S=\cfrac{42}{\frac{1}{4}}\implies S=164$

bearing in mind that, the geometric sequence is "convergent" only when |r|<1, or namely "r" is a fraction between 0 and 1.

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Answer:

Step-by-step explanation: