All categories

1 year ago

Determine the next three terms in the following sequence:

Mathematics

1 answer:

pentagon [3]1 year ago

6 0

The next three terms in the sequence are -1/16, 1/32, -1/64

The correct option is option C)

What is a sequence?

A sequence is an set of values separated by commas Referring to a generalized rule. They have a relation among them. One of the common sequences are arithmetic progression

We are given a sequence of -1, 1/2, -1/4, 1/8,

We have to describe the next three terms of the sequence

If we notice closely the given sequence is an geometric sequence

Hence they have a common factor known as common ratio

in it we divide a term by its previous term

Hence

Ratio= (1/2)/-1

Ratio = -1/2

Now to find the next terms we multiply this with the last term we get

1/8*-1/2= -1/16

Now Hence the next three terms are -1/16, 1/32, -1/64

The correct option is option c)

To learn more about sequences please refer the following link

brainly.com/question/6561461

#SPJ1

You might be interested in

450 is shared between two workers John and Andrew if John gets 50 more than Andrew how much does John get

NemiM [27]

450 divided by 2 is 225. 225-50=175. 225+50=275

John has 275 and Andrew has 175.

In order to get this answer, first you divide the whole number by 2. Then you get the number 225. You then have to subtract 50 from 225 because John gets 50 more than Andrew. Then for John, you have to add 50 to 225. To self-check the answer, here is the formula: 175+275=450. Remember that on these kind of word problems, you first divide the whole. Then subtract and add the number that one person gets more than the other person.

3 0

4 years ago

To find the gradient and coordinates of the y intercept of the graph y-12 = 3x

igomit [66]

Conver to y=mx+b form
m=slope
b=yintercept

y-12=3x
add 12 both sides
y=3x+12
m=3
b=12

gradient aka slope=3
yintercept=12

4 0

4 years ago

Which of the following equations shows the linear relationship between the x and y variables shown in the table of ordered pairs

zhuklara [117]

Answer:

The linear relationship will be B

6 0

3 years ago

in the unted states, the height of men are normally distributed with the mean 69 inches and standard deviation 2.8 inches. If 16

yaroslaw [1]

Answer:

Probability that their mean height is less than 68 inches is 0.0764.

Step-by-step explanation:

We are given that in the united states, the height of men are normally distributed with the mean 69 inches and standard deviation 2.8 inches.

Also, 16 men are randomly selected.

Let $\bar X$ = sample mean height

The z-score probability distribution for sample mean is given by;

Z = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = population mean height = 69 inches

$\sigma$ = population standard deviation = 2.8 inches

n = sample of men = 16

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

So, probability that the mean height of 16 randomly selected men is less than 68 inches is given by = P( $\bar X$ < 68 inches)

P( $\bar X$ < 68 inches) = P( $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ < $\frac{68-69}{\frac{2.8}{\sqrt{16} } }$ ) = P(Z < -1.43) = 1 - P(Z $\leq$ 1.43)

= 1 - 0.9236 = 0.0764

Now, in the z table the P(Z x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 1.43 in the z table which has an area of 0.92364.

Therefore, probability that their mean height is less than 68 inches is 0.0764.

3 0

4 years ago

Solve for x!!! !!!!!!!!!!!!!!!!!!!!!!!!

shutvik [7]

Answer:

X=8

Step-by-step explanation:

2(x+1)+3=3(x-1)

2x+2+3=3x-3

2+3+3=3x-2x

8=x

8 0

3 years ago

Read 2 more answers