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Blizzard [7]
3 years ago
11

What is the next item in the sequence −10,−3,4,11,… − 10 , − 3 , 4 , 11 , … ?

Mathematics
2 answers:
pogonyaev3 years ago
7 0

Answer:

18

Step-by-step explanation:

Every number is a result of adding 7 to the previous number.

Igoryamba3 years ago
4 0
<h3>Answer:</h3>

\large\boxed{18}

<h3>Step-by-step explanation:</h3>

In this question, we're trying to find the next number in the sequence.

We know that the sequence is:

-10, -3, 4, 11, ?

We're trying to find the number after 11.

To find the answer, we would need to notice how the sequence is changing.

You would notice that the sequence is adding 7 every time.

-10 + 7 = -3

-3 + 7 = 4

etc

Since we know that the numbers are increasing by 7 every time, we can get our answer.

We would simply add 11 and 7 to get our next number in the sequence.

11 + 7 = 18

The next number in the sequence would be 18

<h3>I hope this helped you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3>
You might be interested in
Is 1/3, 2/3, 4/3, 8/3, 16/3 arithmetic sequence
11111nata11111 [884]

The given sequence is not arithmetic sequence

<em><u>Solution:</u></em>

Given sequence is:

\frac{1}{3} , \frac{2}{3} , \frac{4}{3} , \frac{8}{3} , \frac{16}{3}

We have to find if the above sequence is arithmetic sequence or not

An arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant

<em><u>Here in the given sequence</u></em>

\text{ first term } = a_1 = \frac{1}{3}\\\\\text{ second term } = a_2 = \frac{2}{3}\\\\\text{ third term } = a_3 = \frac{4}{3}\\\\\text{ fourth term } = a_4 = \frac{8}{3}\\\\\text{ fifth term } = a_5 = \frac{16}{3}

<em><u>Let us find the difference between terms</u></em>

a_2 - a_1 = \frac{2}{3} - \frac{1}{3} = \frac{1}{3}

a_3 - a_2 = \frac{4}{3} - \frac{2}{3} = \frac{2}{3}

a_4 - a_3 = \frac{8}{3} - \frac{4}{3} = \frac{4}{3}

a_5 - a_4 = \frac{16}{3} - \frac{8}{3} = \frac{8}{3}

Thus the difference between terms is not constant

So the given sequence is not arithmetic sequence

5 0
3 years ago
Determine the equation of the circle graphed below.
dsp73

9514 1404 393

Answer:

  (x +1)^2 +(y -3)^2 = 4

Step-by-step explanation:

The equation of a circle centered at (h, k) with radius r is ...

  (x -h)^2 +(y -k)^2 = r^2

The graphed circle is centered at (h, k) = (-1, 3), and has radius 2, so its equation is ...

  (x +1)^2 +(y -3)^2 = 4

4 0
3 years ago
In parallelogram DEFG if FH=16 find FD.
Kruka [31]

Answer:

32

Step-by-step explanation:

16x2

6 0
3 years ago
Now given a rope hanging from the top of a pole. The end lying on the ground is 3 chi long. When tightly stretchedit is 8 chi fr
drek231 [11]

Answer:

Height of the pole = 9.17 chi.

Length of the rope = 12.17 chi.

Step-by-step explanation:

Given that the rope is hanging from the top of a pole having height x chi and the portion of the rope lying on the ground is 3 chi.

So, the length of the rope= x + 3 chi.

Let AB represents the pole in the figure, and one end of the rope is at point A.

When the rope is tightly stretched, let C be the other end of the rope as shown in the triangle.

The length of the rope = AC.

\Rightarrow AC=x+3 chi.

Distance from the bottom of the pole, point A, to the other end of the pole, point B, is 8 chi.

So, BC=8 chi.

As the triangle ABC is a right-angled triangle, so by using Pythagoras theorem,

AC^2= AB^2+BC^2

\Rightarrow (x+3)^2=x^2+8^2

\Rightarrow x^2+6x+9=x^2+64

\Rightarrow 6x=64-9=55

\Rightarrow x=55/6=9.17 chi.

Hence, the height of the pole, AB=x=9.17 chi,

and the length of the rope, x+3=9.17+3=12.17 chi.

8 0
3 years ago
A person walks 2 3 of a mile in 2 9 of a hour. Which complex fraction when simplified will compute the unit rate of miles per ho
GaryK [48]
2/3  /  2/9
= 2/3 * 9/2
=18/6
=3

rate = 3 miles per hour
3 0
3 years ago
Read 2 more answers
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