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
andriy [413]
3 years ago
12

Find the next term is in the explicit and recursive rule for the in term of the sequence. NO LINKS!!!

Mathematics
1 answer:
BARSIC [14]3 years ago
7 0

9514 1404 393

Answer:

  5) 729, an=3^n, a[1]=3; a[n]=3·a[n-1]

  6) 1792, an=7(4^(n-1)), a[1]=7; a[n]=4·a[n-1]

Step-by-step explanation:

The next term of a geometric sequence is the last term multiplied by the common ratio. (This is the basis of the recursive formula.)

The Explicit Rule is ...

  a_n=a_1\cdot r^{n-1}

for first term a₁ and common ratio r.

The Recursive Rule is ...

  a[1] = a₁

  a[n] = r·a[n-1]

__

5. First term is a₁ = 3; common ratio is r = 9/3 = 3.

Next term: 243×3 = 729

Explicit rule: an = 3·3^(n-1) = 3^n

Recursive rule: a[1] = 3; a[n] = 3·a[n-1]

__

6. First term is a₁ = 7; common ratio is r = 28/7 = 4.

Next term: 448×4 = 1792

Explicit rule: an = 7·4^(n-1)

Recursive rule: a[1] = 7; a[n] = 4·a[n-1]

You might be interested in
Is (4, -2) the solution of the system of equations shown
Advocard [28]

No, because if you substitute (4, -2) into x and y in each equation, they are not the same as the value on the right side of the equation.

2(4) + 4(-2) = - 2

8 + -8 = -2

0 = -2 <---- this is not correct.

-4(4) + -2 = -14

-16 + -2 = -14

-18 = -14 <----- this is not correct.

8 0
3 years ago
Someone help math please due today
natali 33 [55]

Answer:

What is the question

Step-by-step explanation:

So u can solve it for u

5 0
3 years ago
A counselor at a community college claims that the mean GPA for students who have transferred to State University is more than 3
Lena [83]

Answer:

t=\frac{3.25-3.1}{\frac{0.3}{\sqrt{36}}}=3  

If we compare the p value and the significance level for example \alpha=1-0.99=0.01 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis.

And the best conclusion would be:

a) Yes. The counselor's claim is valid

Because we reject the null hypothesis in favor to the alternative hypothesis.

Step-by-step explanation:

Data given and notation  

\bar X=3.25 represent the sample mean

s=0.3 represent the sample standard deviation

n=36 sample size  

\mu_o =3.1 represent the value that we want to test  

\alpha represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean is more than 3.1, the system of hypothesis would be:  

Null hypothesis:\mu \leq 3.1  

Alternative hypothesis:\mu > 3.1  

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic  

We can replace in formula (1) the info given like this:  

t=\frac{3.25-3.1}{\frac{0.3}{\sqrt{36}}}=3  

P-value  

The first step is calculate the degrees of freedom, on this case:  

df=n-1=36-1=35  

Since is a one right tailed test the p value would be:  

p_v =P(t_{(35)}>3)=0.00247  

Conclusion  

If we compare the p value and the significance level for example \alpha=1-0.99=0.01 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis.

And the best conclusion would be:

a) Yes. The counselor's claim is valid

Because we reject the null hypothesis in favor to the alternative hypothesis.

5 0
3 years ago
3(у +8) - 10<br> Distribute property
cupoosta [38]

Answer:

3 y + 14

Step-by-step explanation:

(hope this helps can i plz have brainlist :D hehe)

8 0
3 years ago
Multiply: 4(−5 2/3) Enter your answer as a fraction in simplest form, like this: 42/53
8_murik_8 [283]

Answer:

The amount that came is \frac{-68}{3}

Step-by-step explanation:

The computation is shown below:

According to the question, it is mentioned that

Multiply 4 by -5\frac{2}{3}

First open the equation in a fraction it would be \frac{-17}{3}

Now multiplied the above fraction by a 4

That gives the result of \frac{-68}{3}

Hence, the amount that came is \frac{-68}{3}

We simply multiply the 4 with the given fraction

Thus the above represents the simplest form of the fraction

5 0
3 years ago
Other questions:
  • There are 20 pens in a package. Ten of the pens are black, 8 are blue, and the rest are red. Which ratio represents the number o
    6·1 answer
  • 5x+13=13 is this a one soulution or not
    15·1 answer
  • MARK AS BRIANLEST IF ANSWER RIGHT
    10·1 answer
  • The base of pyramid A is a rectangle with a length of 10 meters and a width of 20 meters. The base of pyramid B is a square with
    14·1 answer
  • In the number 114.92 what digit is in the ones place?
    13·2 answers
  • Simplify this fraction (multi choice)
    6·1 answer
  • Find the missing measure in the figure. Look to see how the right triangle is being drawn from the picture. Round to the nearest
    8·1 answer
  • Find the measure of midsegment EF.
    15·2 answers
  • The L.C.M of 2and 4 is what?​
    13·2 answers
  • PLEASE HELP 100 points AND brainlieest
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!