A population of rabbits triples every month.the population starts with two rabbits.how many rabbits are there after 3 month's

1 answer:

7 0

The answer would be 54. Because you start with 2.
2x3 = 6
6x3 = 18
18x3 = 54
Each month it triples so you continue
to add 3 to each result.

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What is the 6th term of the geometric sequence where a1 = -4096 and a4 = 64?

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$\bf \begin{array}{llccll}
term&value\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
a_1&-4096\\
a_2&-4096r\\
a_3&-4096rr\\
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\end{array}\implies -4096r^3=64
\\\\\\
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\\\\\\
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$\bf n^{th}\textit{ term of a geometric sequence}\\\\
a_n=a_1\cdot r^{n-1}\qquad 
\begin{cases}
n=n^{th}\ term\\
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r=\textit{common ratio}\\
----------\\
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a_1=-4096\\
n=6
\end{cases}
\\\\\\
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