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3 years ago

Find the 14th term of the geometric sequence 2,6,18, ...

Mathematics

2 answers:

Bumek [7]3 years ago

8 0

Answer:

Step-by-step explanation:

The answer to this question link is here

https://socratic.org/answers/623991

riadik2000 [5.3K]3 years ago

8 0

The geometric sequence is starting with 2 and multiplying by 3 every time. We can get the rule of this sequence by...

If 2 is $a_{1}$ , 6 is $a_{2}$ , 18 is $a_{3}$ , etc...
then, $a_{n}$ =2(3)^(n - 1)

For the 14th term, plus in 14 for n, and it will look like this:

= 2(3)^(14 -1)

= 2(3)^(13)

= 3188646

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The area of Europe is approximately 9.94 × 106 square kilometers. Its population is approximately 7.31 × 108 people. What is the

Kipish [7]

The population density is 73.54 people per square kilometer

Solution:

Given that,

Area of europe = $9.94 \times 10^6$ square kilometers

Population = $7.31 \times 10^8$

To find: population density

The formula for population density is given as:

$\text{ population density } = \frac{\text{ number of people }}{\text{ land area }}$

Substituting the values in formula, we get

$\text{Population density } = \frac{7.31 \times 10^8}{9.94 \times 10^6}\\\\\text{ use the law of exponent } \frac{a^m}{a^n} = a^{m-n}\\\\\text{Population density } = 0.7354 \times 10^{8-6}\\\\\text{Population density } = 0.7354 \times 10^2\\\\\text{Population density } = 73.541$

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