1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
love history [14]
2 years ago
11

What is the next term in the arithmetic sequence? 9,17,25,33,...

Mathematics
1 answer:
lions [1.4K]2 years ago
3 0

<u>Answer:</u>

<u><em>41</em></u>

<u />

<u>Explanation:</u>

To solve this problem we must first understand what the pattern is in the arithmetic sequence. Once we understand the pattern, we can then apply it to the final known term to find the next term.

Take a look at the arithmetic sequence given:

<em>9, 17, 25, 33,...</em>

<em />

Let's start by figuring out how they got the second term in the sequence. To do that, subtract the second term by the first term. This will reveal the pattern.

<em>9 - first term</em>

<em>17 - second term</em>

<em />

<em>17 - 9 = 8</em>

<em />

So, this means they added eight to get the next term. Therefore, the pattern should be 'add eight' to get the next term. Just to be sure the pattern we found is correct, apply it to the given arithmetic sequence.

<em>9, 17, 25, 33,...</em>

<em>9 </em><em>+ 8 = </em><em>17</em>

<em>17  </em><em>+ 8 = </em><em>25</em>

<em>25 </em><em>+ 8 = </em><em>33</em>

<em />

So, since 'adding eight' every time gives us the next term, the pattern is correct.

Finally, let's continue the pattern to find the next term.

<em>9, 17, 25, 33,...</em>

<em />

<em>33 </em><em>+ 8 = </em><em>41</em>

<em />

<em>9, 17, 25, 33, 41,...</em>

<em />

Therefore, the next term in the arithmetic sequence is <u><em>41</em></u>.

You might be interested in
Answer is 60. Plz step by step explanation !! I'm in urgent !! Thank you​
Aleks04 [339]

Answer:

60°

Step-by-step explanation:

ABCO is a parallelogram (opposite sides are parallel).

AO is equal to the radius of the circle, so BC must also equal the radius.

CO is equal to the radius of the circle, so AB must also equal the radius.

If we draw a line from O to B, we split the parallelogram into two triangles.  Since OB is equal to the radius of the circle, each triangle is an equilateral triangle.  Therefore, angle A is 60°.

8 0
3 years ago
8 more than a number
Anuta_ua [19.1K]

Answer:

\boxed{ 8 + x}

Step-by-step explanation:

<em>Hey there!</em>

<em />

In most cases "the number" would be x.

So if the statement says 8 <u><em>"more than a number",</em></u>

It is saying 8 plus x or 8 + x.

<em>Hope this helps :)</em>

3 0
2 years ago
Read 2 more answers
Can u guys please do the congruent question d
Lynna [10]

Answer:

SAS postulate , since an angles is equal in both triangles plus the diagonals are divided equally means that's equal in both of the triangles

6 0
2 years ago
The roof of a grain silo is in the shape of a cone. The inside radius is 20 feet, and the roof is 10 feet tall. Below the cone i
nirvana33 [79]

Answer:

41887.90 cubic feet

Step-by-step explanation:

We need to find the volume of the silo.

We simply need to find the volume of the cylindrical part and the conical part and add them together.

The body of the silo is a cylinder with height of 30 ft and radius of 20 ft and the roof is a cone with height 10 ft and radius 20 ft.

The volume of a cylinder is given as:

V = \pi r^2h

The volume of a cone is given as:

V = \frac{1}{3} \pi r^2H

where r = radius of cylinder and cone

h = height of cylinder

H = height of cone

Adding them together, we have that the volume of the silo is:

V = \pi r^2h + \frac{1}{3} \pi r^2H

V = \pi r^2 (h + \frac{1}{3}H)\\ \\V = \pi * 20^2 (30 + [\frac{1}{3}* 10]) \\\\V = 1256.64 ( 30 + 3.33)\\\\V = 1256.64(33.33)\\\\V = 41887.90 ft^3

The volume of the silo is 41887.90 cubic feet.

5 0
2 years ago
Crash testing evaluates the ability of an automobile to withstand a serious accident. A simple random sample of 12 small cars we
morpeh [17]

Answer:

The  95% confidence interval for the difference between proportions is (-0.046, 0.713).

Step-by-step explanation:

We want to calculate the bounds of a 95% confidence interval.

For a 95% CI, the critical value for z is z=1.96.

The sample 1 (small cars), of size n1=12 has a proportion of p1=0.6667.

p_1=X_1/n_1=8/12=0.6667

The sample 2, of size n2=15 has a proportion of p2=0.3333.

p_2=X_2/n_2=5/15=0.3333

The difference between proportions is (p1-p2)=0.3333.

p_d=p_1-p_2=0.6667-0.3333=0.3333

The pooled proportion, needed to calculate the standard error, is:

p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{8+5}{12+15}=\dfrac{13}{27}=0.4815

The estimated standard error of the difference between means is computed using the formula:

s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.4815*0.5185}{12}+\dfrac{0.4815*0.5185}{15}}\\\\\\s_{p1-p2}=\sqrt{0.0208+0.0166}=\sqrt{0.0374}=0.1935

Then, the margin of error is:

MOE=z \cdot s_{p1-p2}=1.96\cdot 0.1935=0.3793

Then, the lower and upper bounds of the confidence interval are:

LL=(p_1-p_2)-z\cdot s_{p1-p2} = 0.3333-0.3793=-0.046\\\\UL=(p_1-p_2)+z\cdot s_{p1-p2}= 0.3333+0.3793=0.713

The  95% confidence interval for the difference between proportions is (-0.046, 0.713).

8 0
3 years ago
Other questions:
  • Select the correct answer.
    5·1 answer
  • Find the integers: the sum of the three is 21 more than 2 times the smallest
    8·1 answer
  • Y=3x-1 for x=-2,1,0,1
    15·1 answer
  • What number would complete the pattern below? 14 5 18 24 15 28 34 __
    11·1 answer
  • How many eighths are in 5 5/8? use your answer to rewrite 5 5/8 in the form /8
    9·1 answer
  • -2/3(3x-9) = 15 please help
    12·1 answer
  • What is the circumference of the following circle? r=9
    8·1 answer
  • Estimate the radius of the Big Ben clock face in London to the nearest meter.Using C=44m
    6·1 answer
  • H. Salaries of Ravi and Sumit are in the ratio 2 : 3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40 :
    8·1 answer
  • Help! Give brainliest!
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!