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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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What is the range of f(x)=15(1/3)^x
wel

Answer:

(0,inf)   {y║y>0}

Step-by-step explanation:

8 0
3 years ago
51% of the tickets sold at a school carnival were early-admission tickets. If the school sold 100 tickets in all, how many early
saul85 [17]

Answer:

51 were the total number of the tickets sold at a school carnival were early-admission tickets.

Step-by-step explanation:

Total number of tickets sold by  = 100

Let x be the early-admission tickets sold by the school.

As 51% of the tickets sold at a school carnival were early-admission tickets.

so

x=\frac{51}{100}\times 100

  = 51

Therefore, 51 were the total number of the tickets sold at a school carnival were early-admission tickets.

5 0
3 years ago
Nando is on a rehabilitation program following a car accident. For the first month, he needs to exercise at most five hours per
emmasim [6.3K]

Answer:

See explanation

Step-by-step explanation:

Let x be the number of hours per week Nando is brisk walking  and y be the number of hours per week Nando is  biking at a moderate pace.

For the first month, he needs to exercise at most five hours per week, then

x+y\le 5

Brisk walking burns about 350 calories per hour, then it burns 350x calories per x hours.

Biking at a moderate pace burns about 700 calories per hour, then it burns 700y calories per y hours.

Nando must burn at least 2,000 calories per week, so

350x+700y\ge 2,000

You get the system of two inequalities:

\left\{\begin{array}{l}x+y\le 5\\ 350x+700y\ge 2,000\end{array}\right.

The attached graph shows the solution set to this system of inequalities. In this diagram, red region represents the solution set to the first inequality, blue region represents the solution set to the second inequality and their intersection is the solution set to the system of two inequalities.

4 0
3 years ago
Which of the following pairs consist of equivalent fractions?
cestrela7 [59]

Answer:

d

Step-by-step explanation:

a is incorrect because

20/32=10/16=5/8

b is incorrect because

10/7=1.42 and 7/10=0.7 which don't equal each other

c is incorrect because

4/6 equals 2/3 not 3/5

d is correct because,

18/48=15/40

3 0
3 years ago
Can someone answer all these for me pls
Tems11 [23]
Okay
1 yes and yes
2 yes and no
3 no and yes
4 0
3 years ago
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