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
horrorfan [7]
3 years ago
15

Whats the next two terms in order are p+q, p , p-q

Mathematics
1 answer:
Law Incorporation [45]3 years ago
5 0

Answer:

p - 2q and p - 3q

Step-by-step explanation:

A Series is given to us and we need to find the next two terms of the series . The given series to us is ,

\rm\implies Series = p+q , p , p - q

Note that when we subtract the consecutive terms we get the common difference as "-q" .

\rm\implies Common\ Difference = p - (p + q )= p - p - q =\boxed{\rm q}

Therefore the series is<u> </u><u>Ar</u><u>i</u><u>thmetic </u><u>Series</u> .

<u>Arithmetic</u><u> </u><u>Series</u><u>:</u><u>-</u> The series in which a common number is added to obtain the next term of series .

And here the Common difference is -q .

<u>Fourth </u><u>term </u><u>:</u><u>-</u><u> </u>

\rm\implies 4th \ term = p - q - q = \boxed{\blue{\rm p - 2q}}

<u>Fifth</u><u> </u><u>term </u><u>:</u><u>-</u><u> </u>

\rm\implies 4th \ term = p - 2q - q = \boxed{\blue{\rm p - 3q}}

<u>Therefore</u><u> the</u><u> </u><u>next </u><u>two </u><u>terms </u><u>are </u><u>(</u><u> </u><u>p </u><u>-</u><u> </u><u>2</u><u>q</u><u>)</u><u> </u><u>and </u><u>(</u><u> </u><u>p </u><u>-</u><u> </u><u>3q</u><u> </u><u>)</u><u> </u><u>.</u>

You might be interested in
The ratio of boys to girls in the gym class at a local middle school is 3:2. what percent of the gym class is girls
sukhopar [10]
3 boys for every 2 girls
So, the percentage of girls is (2 / 5) x 100 = 40%


5 0
2 years ago
A biologist determined that the quantity of bacteria in a petri dish decreases by half every day of the study. If there were 8 g
Anna [14]
The sender is .75 grams
3 0
3 years ago
Please help me<br><br> Find the value of x
kvv77 [185]

Answer:

x = 5 and y = 22

Step-by-step explanation:

See attached image.

6 0
1 year ago
Sunspots have been observed for many centuries. Records of sunspots from ancient Persian and Chinese astronomers go back thousan
Lunna [17]

Answer:

(a) Null Hypothesis, H_0 : \mu \leq 41  

    Alternate Hypothesis, H_A : \mu > 41

(b) The value of z test statistics is 1.08.

(c) We conclude that the mean sunspot activity during the Spanish colonial period was lesser than or equal to 41.

Step-by-step explanation:

We are given that in a random sample of 40 such periods from Spanish colonial times, the sample mean is x¯ = 47.0. Previous studies of sunspot activity during this period indicate that σ = 35.

It is thought that for thousands of years, the mean number of sunspots per 4-week period was about µ = 41.

Let \mu = <u><em>mean sunspot activity during the Spanish colonial period.</em></u>

(a) Null Hypothesis, H_0 : \mu \leq 41     {means that the mean sunspot activity during the Spanish colonial period was lesser than or equal to 41}

Alternate Hypothesis, H_A : \mu > 41     {means that the mean sunspot activity during the Spanish colonial period was higher than 41}

The test statistics that would be used here <u>One-sample z test statistics</u> as we know about the population standard deviation;

                            T.S. =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \bar X = sample mean = 47

            σ = population standard deviation = 35

            n = sample of periods from Spanish colonial times = 40

So, <em><u>the test statistics</u></em>  =  \frac{47-41}{\frac{35}{\sqrt{40} } }

                                      =  1.08

(b) The value of z test statistics is 1.08.

(c) <u>Now, the P-value of the test statistics is given by;</u>

                P-value = P(Z > 1.08) = 1 - P(Z < 1.08)

                              = 1 - 0.8599 = <u>0.1401</u>

Since, the P-value of the test statistics is higher than the level of significance as 0.1401 > 0.05, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <u>we fail to reject our null hypothesis</u>.

Therefore, we conclude that the mean sunspot activity during the Spanish colonial period was lesser than or equal to 41.

8 0
3 years ago
Find the indicated area under the curve of the standard normal​ distribution; then convert it to a percentage and fill in the bl
galben [10]

Answer:

95%

Step-by-step explanation:

About 95% of the area is within two standard deviation in standard normal distribution. This can be explained by finding the probability within 2 standard deviation using standard normal distribution.

P(z1<Z<z2)=P(-2<Z<2)

P(-2<Z<2)=P(-2<Z<0)+P(0<Z<2)

P(-2<Z<2)=0.4772+0.4772

P(-2<Z<2)=0.9544

Thus, About 95% of the area is between z2 and z2

4 0
3 years ago
Other questions:
  • What is the area?<br> 4 m<br> 10 m<br> square meters<br> What is the formula
    14·2 answers
  • Which of the following options is an equivalent function to f(x) = 4(3)2x?
    7·2 answers
  • Which of the following values is farthest to the left on the number line? (0.1)2 0.02
    8·2 answers
  • 0.2 is 10 times as much as ?? and <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B10%7D%20" id="TexFormula1" title=" \frac
    12·1 answer
  • I need help in math
    13·1 answer
  • Calculate a 40% increase from 120.
    13·1 answer
  • Given OR=OQ. prove&lt;3=&lt;5
    14·1 answer
  • Simplify the equality y+1&lt;3
    9·2 answers
  • I need help finding the Y-intercept
    12·2 answers
  • 24 is 25% of what number?<br><br> Please help!
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!