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2 years ago

5

A population, P, of birds is doubling in size each year, according to the model P = 100(2t), where t reperesents years. What was

the initial population size?

2 answers:

MissTica2 years ago

6 0

Answer:

e groth

Step-by-step explanation:

mina [271]2 years ago

5 0

The initial population size was 200

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mafiozo [28]

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Let $S_n$ denote the $n$ th partial sum of the series, i.e.

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Then

$\dfrac1{10}S_n=\dfrac1{10}+\dfrac1{100}+\dfrac1{1000}+\dfrac1{10^{n+1}}$

and subtracting from $S_n$ we get

$S_n-\dfrac1{10}S_n=\dfrac9{10}S_n=1-\dfrac1{10^{n+1}}$
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As $n\to\infty$ , the exponential term vanishes, leaving us with

$\displaystyle\lim_{n\to\infty}S_n=\dfrac{10}9$

and so

$7+0.7+0.007+\cdots=7.777\ldots=\dfrac{70}9$

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3 years ago

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slava [35]

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monitta

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Step-by-step explanation:

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