All categories

3 years ago

Which of the following is a geometric series?

Mathematics

1 answer:

Alenkasestr [34]3 years ago

7 0

<h2>Answer:</h2>

The geometric series is:

2+14+98+686

<h2>Step-by-step explanation:</h2>

The geometric series is a series in which each term of the series is a constant multiple of the preceding term of the series.

6+13+20+27

This is not a geometric series but is a arithmetic series.

Since, each term is increased from the preceding term by 7.

Since, 6+7=13

13+7=20

20+7=27

7+21+35+45

This is not a geometric series.

Since 7×3=21

But 21×3=63

But the next term that is given is: 28 and not 63

14+21+28+35

This is a arithmetic sequence.

Since

14+7=21

21+7=28

and 28+7=35

2+14+98+686

This is a geometric sequence.

Since,. we get a common ratio i.e. a term which when multiplied to each term of sequence gives the next term of the series.

i.e. 2×7=14

14×7=98

98×7=686

You might be interested in

The Paralyzed Veterans of America is a philanthropic organization that relies on contributions. They send free mailing labels an

lions [1.4K]

Answer:

Confidence interval: (0.04649,0.04913)

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 100,000

Number of people who donated, x = 4781

$\hat{p} = \dfrac{x}{n} = \dfrac{4781}{100000} = 0.04781
$

95% Confidence interval:

$\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$z_{critical}\text{ at}~\alpha_{0.05} = 1.96$

Putting the values, we get:

$0.04781
\pm 1.96(\sqrt{\dfrac{0.04781
(1-0.04781
)}{100000}})\\\\=0.04781
\pm 0.00132\\\\=(0.04649,0.04913)$

is the required 95% confidence interval for the true proportion of their entire mailing list who may donate.

3 0

2 years ago

elliot rides his bike at an average speed of 14 miles per hours. how many miles will he ride in 2 1/2 hours

natita [175]

14:1
?:2 1/2

14:1
x x
2 2
1/2 1/2
35 : 2/12 35 miles Put me as BRAINLIEST!!!!

5 0

3 years ago

Read 2 more answers

Given that 310 = 59 049 , what is 3-10 expressed as an exact value?

Advocard [28]

$x^{-n}=\frac{1}{x^n} \\ \\
3^{10}=59049 \\
3^{-10}=\frac{1}{3^{10}}=\frac{1}{59049} \\ \\
\boxed{3^{-10}=\frac{1}{59049}}$

4 0

2 years ago

Help me plz, explain it

Darya [45]

The perimeter of a rectangle is found by multiplying the length by 2 and the width by 2 and adding them together.

P = 2L + 2W

Filling in the information given we can find the width:

16.8 = 2(3.6) + 2W

16.8 = 7.2 + 2W

2w = 16.8 - 7.2

2w = 9.6

w = 9.6 / 2

w = 4.8 in.

6 0

3 years ago

Read 2 more answers

PLS HELP!!

inna [77]

The correct answer are as follows:

A. False

B. True

C. False

D. False

<h3>What is Function?</h3>

The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

A. Since x-intercepts indicate the amount of each bacteria at the start of the experiment, there was more of bacteria B than bacteria A at the start.

False, it is the y-intercept of the function that indicates the amount at the start of the experiment.

B. Since y-intercepts indicate the amount of each bacteria at the start of the experiment, there was more of bacteria B than bacteria A at the start.

True, the y-intercept is given when x = 0, indicating the initial value of the function.

C. Since the maximum value in the table for bacteria A is greater than the maximum value in the table for bacteria B, bacteria A has a faster growth rate than bacteria B.

False, because the maximum value of each table is given in different times, and also the initial value of each table is different.

D. Since the minimum value in the table for bacteria A is less than the minimum value in the table for bacteria B, bacteria A has a slower growth rate than bacteria B.

False, the growth rate is not given by the initial value. If we model both tables with an exponential function, the count of bacteria A quadruped in two days, and the count of bacteria B doubled in one day, so they have the same growth rate.

Learn more about Function from:

brainly.com/question/12431044

#SPJ1

6 0

1 year ago