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tia_tia [17]
3 years ago
5

. Find the sum of the geometric sequence. (1 point) 1, one divided by four, one divided by sixteen, one divided by sixty four, o

ne divided by two hundred and fifty six
Mathematics
2 answers:
il63 [147K]3 years ago
8 0

Answer:

0.332

Step-by-step explanation:

given series

1/4, 1/16,1/64.1/256

this is geometric series

where common ratio   r is given by

nth term/ (n-1)th term

let the second term is nth term and first term is (n-1)th term

r = 1/16 / (1/4) = 1/4

___________________________________________

sum of series is given by

a (1-r^n)/1-r

where a is first term

n is the number of terms

r is the common ration

___________________________________________

in the given series

1/4, 1/16,1/64.1/256

a = 1/4

r = 1/4

n = 4

thus ,

sum = 1/4(1-(1/4)^4)/ (1-1/4)

sum = 1/4(1-(1/256)/(4-1)/4

sum = 1/4((256-1)/256 / 3/4

1/4 in numerator and denominator gets cancelled

sum =( 255/256*3) = 255/768 = 0.332

Thus, sum of series is 0.332.

vlabodo [156]3 years ago
6 0

Answer:

341/256

Step-by-step explanation:

I took the test and got the answer right

You just give all the fractions a common denominator of 256 and then change and add up the numerators and you get 341

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A state offers specialty license plates that contain 3 letters followed by 2 numbers. License plates are assigned randomly. All
Maslowich

Answer:

Step-by-step explanation:

# of ways to succeed: 10*10*10*3*25*25--# of possible plates: 10*10*10*26*26*26----P(exactly one W) = [10^3*3*25^2]/[10^3*26^3] = 3*25^2/26^2 = 1875/17576

4 0
2 years ago
What are the coordinates of points a <br> (-4,3)<br> (3,-4)<br> (-3,-4)<br> (-4,-3)
lozanna [386]
The answer is (-4, -3)
5 0
3 years ago
please help John's age increased by 11 is 5 less than 5 times his age. How old is he? If x represents John's age, which of the f
Keith_Richards [23]
So x is John's age.
We can solve this problem by working backwards.
Since it's 5 times his age, we first do 5x.
And then since it's five less, we move on to 5x - 5
And then we add the John's age is increased by 11: 5x - 5 = x + 11
I hope this helped :)
(It should be the second one you listed)
7 0
3 years ago
If a seed is planted, it has a 75% chance of growing into a healthy plant.
Arlecino [84]

Answer:

It is binomial:

p= 0.75 = 75%

1-p = 0.25 = 25%

N = 10

k=7

"seven successes in 10 trials"

(10 choose 7) (0.75)^7 ( 0.25)^3 =

(10*9*8 / 3*2) * (0.75)^7 ( 0.25)^3 =

(5*3*8) (0.75)^7 ( 0.25)^3

120 (0.75)^7 ( 0.25)^3  

= 0.25028228759765625

or just over 25%

Step-by-step explanation:

5 0
3 years ago
Plz help, 15 points!
Eduardwww [97]

Answer:

2x+3y=-6

Step-by-step explanation:

Let the line is y=mx+b where m is slope and b is y-intercept.

The line is parallel to 2x+3y=3, slope of both the lines will be same.

Find the slope of 2x+3y=3

3y=3-2x\\y=-\frac{2}{3}x+1

Slope of line=-\frac{2}{3}

m=-\frac{2}{3}

So the line will be y=-\frac{2}{3}x+b

It passes through (3,-4).

-4=-\frac{2}{3}\times 3+b\\-4=-2+b\\b=-2\\

Hence the line is y=-\frac{2}{3}x-2

y=-\frac{2}{3}x-2\\3y=-2x-6\ \ \ \ \ \ \ (Multiply both sides by 3)\\2x+3y=-6

6 0
3 years ago
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