Will Mark the please help me! What is the measure of A 65 B)25 C)50 D)32.5

Which geometric series diverges? Three-fifths three-tenths three-twentieths StartFraction 3 Over 40 EndFraction ellipsis Negativ

Sholpan [36]

The geometric series which diverges is shown in the option number c as the absolute value of the common ratio of this series 4.

$\sum_{n=1 }^{\infty} \dfrac{2}{3}(-4)^{n-1}$

<h3>What is geometric series diverges? </h3>

Geometric sequence is the sequence in which the next term is obtained by multiplying the previous term with the same number for the whole series.

It can be given as,

$a+ar+ ar^2+ ar^3+...$

Here,

is the (a) first term of the sequence, and (r) is the common ratio.

To be a series as geometric series diverges, it should follow,

$|r| > 1$

First option given as,

3/5+3/10+3/20+3/40+ ...

Here, the common ratio is,

$r=\dfrac{\dfrac{3}{10}}{\dfrac{3}{5}}\\r=\dfrac{1}{2}$

The common ratio is less than one. Thus option a is not correct.

First option given as,

-10+4-8/4+18/25- ...

Here, the common ratio is,

$r=\dfrac{4}{-10}\\r=\dfrac{-2}{5}$

For the option number two the common ratio is (-2/5) which is less than 1. This option is also not correct.

In the option number c, the value of common ratio is -4. The absolute value of common ratio is,

$|r|=|-4|\\|r|=4$

The absolute value of this common ratio is more than one. Thus, this is the correct option.

The geometric series which diverges is shown in the option number c as the absolute value of the common ratio of this series 4.

$\sum_{n=1 }^{\infty} \dfrac{2}{3}(-4)^{n-1}$

Learn more about the geometric sequence here;

brainly.com/question/1509142

7 0

2 years ago

the original price of a sweater is d dollars. you buy the sweater for (m - 3) dollars. you decorate the sweater and sell it for

lora16 [44]

Answer:

-10d

Step-by-step explanation:

7 0

2 years ago

Joseph is running up and down the stadium stairs for exercise. Each step is 8 inches high and there are a total of 50 stairs. Jo

Alex17521 [72]

The distance he has traveled vertically to the nearest yard in combined trip is 111 yards.

Solution:

Given that,

Each step is 8 inches high

There are a total of 50 stairs

So the height of 50 stairs is:

Height of 50 stairs = 50 x 8 = 400 inches

Joseph makes 10 round trips up and down the stairs

So, joseph has went up 10 times and he came down 10 times

We need to find the distance he has traveled vertically in the combined trips

Therefore,

Number of times he went up = 10

We know that,

height of 50 stairs = 400 inches

Therefore,

Distance traveled up = 10 x 400 = 4000 inches

Convert to yard

1 yard = 36 inch

Therefore,

$4000\ inch = \frac{4000}{36}\ yard = 111.111\ yards$

Therefore, the distance he has traveled vertically to the nearest yard in combined trip is 111 yards

8 0

3 years ago

You buy a patty for $200 and pay 16% in tax (G.C.T). How much is money was paid to the cashier?

AleksAgata [21]

Answer:

$232

Step-by-step explanation:

Add 16% to 100% then multiply by 200

6 0

2 years ago

Consider the following hypothesis test: : : A sample of provided a sample mean and a sample standard deviation . Enter negative

SSSSS [86.1K]

Answer:

-1.540

Step-by-step explanation:

H0 : μ = 18

H0 : μ ≠ 18

The sample size, n = 48

Sample mean, xbar = 17

Sample standard deviation, s = 4.5

α = 0.05

The test statistic :

(xbar - μ) ÷ (s/√(n))

(17 - 18) ÷ (4.5 / √48))

-1 ÷ 0.6495190

= -1.5396

= -1.540 (3 decimal places ).

5 0

2 years ago