All categories

3 years ago

Find the sum of this infinite geometric series 1/7+ 1/49 + 1/343

Mathematics

2 answers:

pochemuha3 years ago

6 0

-1/6 or -1/8 or 1/6 or 1/8 one of these for sure

marusya05 [52]3 years ago

5 0

The sum of the infinite geometric series

$a+ar+ar^2+...$ where $a$ is the first term and $r$ common ratio $-1$ is $\frac{a}{1-r}$ .

Here the given series is $\frac{1}{7} +\frac{1}{49} +\frac{1}{343} +...$ .

Here $a=1,r=\frac{1}{7}$ . The sum of the infinite geometric series is

$\frac{1}{1-1/7} =\frac{7}{6}$

You might be interested in

Sheila is a wildlife biologist. Her daily task is to count the number of wild turkeys and white-tail deer in a large game reserv

Lilit [14]

Given:
wild turkey ; 12 in the first hour and cumulative number increases by 40% per hour
white-tail deer ; 18 in the first hour and 10 deer each hour after that.

wild turkery: 12 * (1.40)^n-1 ; n is the number of hour
white-tail deer: 18 + 10^n-1 ; n is the number of hour

n wild turkey white-tail deer
1 12 18
2 17 28
3 24 38
4 33 48
5 46 58
6 65 68
7 90 78

It would be hour 7 after sunrise that the cumulative count of the turkeys first exceed the cumulative count of the deer.

4 0

3 years ago

The stemplot displays the selling prices of homes for ABC Realty in April.

Alexxandr [17]

The stemplot displays the entire values for the selling prices of homes for ABC Reality in April.

The correct set of data for the stemplot is the option;

<u>$459,000, $227,000, $67,000, $123,000, $213,000, $482,000, $85,000, $181,000, $225,000, $92,000, $181,000, $287,000, $196,000, $276,000</u>

<h3>Method by which the above option is selected</h3>

The data in the stemplot are;

459,000, 482,000, 213,000, 225,000, 276,000, 277,000, 287,000, 123,000, 181,000, 181,000, 196,000, 67,000, 85,000, 92,000

Given that there are no values in the 300,000s, and that 181,000 appear twice, the option that corresponds to the above data is therefore;

$459,000, $277,000, $67,000, $123,000, $213,000, $482,000, $85,000, $181,000, $225,000, $92,000, $181,000, $287,000, $196,000, $276,000

Learn more about stemplot here:

brainly.com/question/10572086

6 0

2 years ago

50 points and brainliest for the best fastest answer

romanna [79]

Answer:

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

How to get x when x^3-x^2+x-1=0?

Art [367]

Answer:

x = 1 or x = ± i

Step-by-step explanation:

Note the sum of the coefficients

1 - 1 + 1 - 1 = 0

This indicates that x = 1 is a root, thus (x - 1) is a factor

Using long division or synthetic division, then

x³ - x² + x - 1 = (x - 1)(x² + 1), thus

(x - 1)(x² + 1) = 0

Equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

x² + 1 = 0 ⇒ x² = - 1 ⇒ x = ± $\sqrt{-1}$ = ± i

6 0

3 years ago

Pleaseeeeeeee help .......ASAP

fenix001 [56]

Answer:

Option A

Step-by-step explanation:

Given:

Center of circle = (h,k)= (3,8)

Radius = r = 5

The standard form of equation of circle with center and radius is:

$(x-h)^2+(y-k)^2=r^2\\Putting\ the\ values\\(x-3)^2+(y-8)^2=(5)^2\\Simplifying\\x^2+9-6x+y^2+64-16y=25\\x^2+y^2-6x-16y+9+64=25\\x^2+y^2-6x-16y+73=25\\x^2+y^2-6x-16y+73-25=0\\x^2+y^2-6x-16y+48=0$

Therefore, the general form of the equation of circle given is:

$x^2+y^2-6x-16y+48=0$

Hence, option A is correct ..

5 0

3 years ago