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2 years ago

11

This pattern repeats every 5 terms. The pattern is rectangle, pentagon, triangle, square, square. What is the 11th term of this

pattern?
a pattern of shapes, rectangle, pentagon, triangle, square, square

Group of answer choices

Triangle

Square

Pentagon

1 answer:

skad [1K]2 years ago

7 0

The correct answer would be a <u>square</u>

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3 years ago

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3 years ago

What is the sum of the infinite geometric series 9−6+4−83+...9-6+4-83+...??

vivado [14]

Successive terms have a common factor of $-\dfrac23$ , which means the $n$ th partial sum of the series can be written as

$S_n=9-6+4-\dfrac83+\cdots+9\left(-\dfrac23\right)^{n-1}$
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$\implies-\dfrac23S_n=9\left(\left(-\dfrac23\right)^1+\left(-\dfrac23\right)^2+\left(-\dfrac23\right)^3+\left(-\dfrac23\right)^4+\cdots+\left(-\dfrac23\right)^n\right)$

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2 years ago

In a capture-recapture study, 97 grizzly bears were tagged and released back into the wild. A month later, 200 bears were captur

3241004551 [841]

Answer:

539

Step-by-step explanation:

Let the total population of grizzly bears=x

In the first capture, 97 were tagged.

Therefore, ratio of the total population to the tagged=x:97

A month later, when 200 bears were captured, 36 were tagged.

Ratio of the sample to the tagged=200:36

Since a sample is representative of the population, the ratios are the same. We therefore have:

x:97=200:36

$\dfrac{x}{97} =\dfrac{200}{36}\\ $Cross multiply\\36x=200 X 97\\x=200 X 97 \div 36\\x=538.9 \approx 539$

There are about 539 grizzly bears in the population

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3 years ago