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3 years ago

HELP QUICK PLEASE!!

Mathematics

1 answer:

Ksenya-84 [330]3 years ago

7 0

Answer:

it is very clear and understandable

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Which of the following is an arithmetic sequence?

enot [183]

Answer:

The third sequence.

Step-by-step explanation:

In an arithmetic sequence, the difference between two consecutive terms is the same.

For each option, find the difference between consecutive terms:

First option:

$4 - 2 = 2$ .
$8 - 4 = 4$ .
$16 - 8 = 8$ .

The differences are not the same. As a result, this option is not an arithmetic sequence.

Second option:

$4 - 12 = -8$ .
$\displaystyle \frac{4}{3} - 4 = -\frac{8}{3}$ .
$\displaystyle \frac{16}{3} - \frac{4}{3} = \frac{12}{3} = 4$ .

The differences are not the same. As a result, this option is not an arithmetic sequence, either.

Third option:

$\displaystyle -\frac{1}{2} - \frac{1}{2} = -1$ .
$\displaystyle -\frac{3}{2} - \left(-\frac{1}{2}\right) = -\frac{3}{2} + \frac{1}{2} = -1$ .
$\displaystyle -\frac{5}{2} - \left(-\frac{3}{2}\right) = -\frac{5}{2} + \frac{3}{2} = -1$ .

The differences are all $-1$ . As a result, this option is indeed an arithmetic sequence. Its common difference is $(-1)$ .

Fourth option:

$\displaystyle -\frac{1}{2} - \frac{1}{2} = -1$ .
$\displaystyle \frac{1}{2} - \left(-\frac{1}{2}\right) = \frac{1}{2} + \frac{1}{2} = 1$ .
$\displaystyle -\frac{1}{2}\right - \frac{1}{2} = -1$ .

The differences are varying between $1$ and $-1$ . As a result, this option is not an arithmetic sequence.

3 0

3 years ago

While shopping for clothes, Curtis spent $44 less than 3 times what Jaclyn spent. Curtis

Vaselesa [24]

Just multiply 44 times 3 the you should get your answer

3 0

3 years ago

I would appreciate it if someone could help answer this problem:)

max2010maxim [7]

Answer:

its easy

sum of interior angle is 180degrees sum of exterior angle is 360degrees

6 0

3 years ago

Read 2 more answers

What orderd pair represents the y intercept of the graph of y=2x-5

Serjik [45]

Answer:(0,-5)

Step-by-step explanation: desmos and you can see

8 0

3 years ago

You start driving north for 7 miles, turn right, and drive east for another 24 miles. At the end of driving, what is your straig

horsena [70]

Answer:

$AC = 25\ miles$

Step-by-step explanation:

Given:

Distance for north side = 7 miles.

Distance for east side = 24 miles.

We need to find the displacement.

Solution:

Figure shows Point A is starting point and AB = 7 miles is North side distance and BC = 24 miles is east side distance and AC is shown as displacement.

Using Pythagoras theorem to find displacement (AC).

$(AC)^{2}=(AB)^{2}+(BC)^{2}$