All categories

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

You might be interested in

This year the CDC reported that 30% of adults received their flu shot. Of those adults who received their flu shot,

Vlad [161]

Using conditional probability, it is found that there is a 0.1165 = 11.65% probability that a person with the flu is a person who received a flu shot.

Conditional Probability

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this problem:

Event A: Person has the flu.

Event B: Person got the flu shot.

The percentages associated with getting the flu are:

20% of 30%(got the shot).

65% of 70%(did not get the shot).

Hence:

$P(A) = 0.2(0.3) + 0.65(0.7) = 0.515$

The probability of both having the flu and getting the shot is:

$P(A \cap B) = 0.2(0.3) = 0.06$

Hence, the conditional probability is:

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.06}{0.515} = 0.1165$

0.1165 = 11.65% probability that a person with the flu is a person who received a flu shot.

To learn more about conditional probability, you can take a look at brainly.com/question/14398287

7 0

1 year ago

Which is more 2 yards or 69 inches?

wariber [46]

2 yards is more because 2 yards = 72 inches

5 0

3 years ago

Pls help me with this problem

Effectus [21]

Answer:

I think it's alternate interior, cause both the angle are inside..

8 0

2 years ago

Read 2 more answers

N aumentado en un 25%

Shkiper50 [21]

Answer:

1.25 * N

Step-by-step explanation:

We have to increase N by 25%.

The first thing is to say how the percentage works in these cases, N would be our 100% and the increase would be 25% in this case, therefore, the initial value must be added (that is, N, 100%) and to that if add 25% of the initial value (that is, + 25% N).

Thus:

100% * N + 25% * N = N * (100% + 25%)

N * (125%) = 1.25 * N

So to increase N is 25% it would be 1.25 * N

8 0

3 years ago

Write the equation for the parabola that has x− intercepts (−2,0) and (4,0) and y− intercept (0,4).

seropon [69]

Answer:

$y = -\frac{1}{2}(x^2-2x-8)$

Simplified it is $y=-\frac{1}{2}x^2+x+4$

Step-by-step explanation:

The x-intercepts of a parabola form the factors of the equation. Since the x -intercepts are (-2,0) and (4,0) then the factors are (x+2) and (x-4). Factors are pieces which multiply to make the equation.

$y=(x+2)(x-4)\\y=x^2+2x-4x-8\\y=x^2-2x-8$

This is the standard form of the parabola $ax^2+bx+c$ . Since the y-intercept of the parabola is (0,4) then a number must also be multiplied to it

$y=a(x^2-2x-8)$

We find a by plugging in x=0 and y=4.

$4=a(0^2-2(0)-8)\\4=a(0-0-8)\\4=a(-8)\\\frac{4}{-8} = a\\\frac{-1}{2} = a$

So the equation is $y = -\frac{1}{2}(x^2-2x-8)$ .

When simplified it is $y=-\frac{1}{2}x^2+x+4$

3 0

3 years ago