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
Sedaia [141]
3 years ago
11

4. What is the rule of the nth term of the geometric sequence with

title="a_{4}" alt="a_{4}" align="absmiddle" class="latex-formula"> = -18 and the common ratio r = 2?
a. a_{n}=2.25(2)^{n-1}

b. a_{n}=2(2.25)^{n-1}

c. a_{n}=2(2.25)^{n-1}

d. a_{n}=-2.25(2)^{n-1}

e. a_{n}=-2.25(-2)^{n-1}
Mathematics
1 answer:
hram777 [196]3 years ago
7 0

Answer:

\text{d.}\quad a_n=-2.25(2)^{n-1}

Step-by-step explanation:

The common ratio is given as 2, so the base of any exponential must be 2 (not -2 or 2.25). The 4th term is negative, so the initial value must be negative (since the multiplying factor is positive). The only selection matching these requirements is d.

You know the general term is ...

... an = a1·r^(n-1)

so the 4th term is

... -18 = a1·2^(4-1) = 8·a1

Then the first term is ...

... a1 = -18/8 = -2.25 . . . . . confirms our choice of answer d.

You might be interested in
HELP ME PLZZZ ASAP PLZZZ
AnnyKZ [126]
I believe that B is the answer bc -2-1 is -3 but with absolute value it it's 3, whish is the correct distance
6 0
3 years ago
What is equavalent to 3/9
Bogdan [553]
1/3 is equivalent to 3/9
4 0
2 years ago
Read 2 more answers
Distributive property to factor out the greatest common factor
Bingel [31]
Tttttttttttttttttttttttt
7 0
3 years ago
Two numbers have a sum of 45. If one number is p, express the other number in terms if p.
iragen [17]
Heyo Kiddo. How are you doing today? 
Let's figure this out. 

So, if "one number is p," then we can say the other number can represent the variable z. 

We can conclude that: p + z = 45
 
For us to solve for z : 
 
p + z = 45
- p       -p

So then,
z = 45 - p 
You're welcome. :)
4 0
3 years ago
Read 2 more answers
The number of times that students go to the movies per year has mean is a normal distribution with a mean of 17 with standard de
antiseptic1488 [7]

Answer:

53.84% probability that for a group of 10 students, the mean number of times they go to the movies each year is between 14 and 18 times.

Step-by-step explanation:

To solve this problem, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central limit Theorem

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a sample of size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 17, \sigma = 8, n = 10, s = \frac{8}{\sqrt{10}} = 2.53

What is the probability that for a group of 10 students, the mean number of times they go to the movies each year is between 14 and 18 times?

This probability is the pvalue of Z when X = 18 subtracted by the pvalue of Z when X = 14. So

X = 18

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{18 - 17}{2.53}

Z = 0.4

Z = 0.4 has a pvalue of 0.6554

X = 14

Z = \frac{X - \mu}{s}

Z = \frac{14 - 17}{2.53}

Z = -1.19

Z = -1.19 has a pvalue of 0.1170

0.6554 - 0.1170 = 0.5384

53.84% probability that for a group of 10 students, the mean number of times they go to the movies each year is between 14 and 18 times.

3 0
3 years ago
Other questions:
  • How many solutions does the equation 3x-2x+4=2+x+2 have?
    14·2 answers
  • - Ms. McNeil buys 2.4 gallons of gasoline. The total cost is $7.56. The
    9·1 answer
  • the lees rented a car for 4 weeks.The Santos rented a car for 2 weeks,Whose weekly rental cost was lower?
    15·2 answers
  • A ramp 28 ft long rises to a platform. the bottom of the platform is 15 ft from the foot of the ramp. find x , the angle of elev
    8·1 answer
  • What is the largest fraction 3/4 7/8 8/10 7/9?
    13·1 answer
  • Find the Slope and the y- intercept for 5x+5y=-40
    8·1 answer
  • HELP ME ASAP<br><br> Car X travels 268 miles in 4 hours.
    6·1 answer
  • Janet needed 2.7 meters of thread to finish a pillow she was
    15·1 answer
  • Don't know this please help me
    7·1 answer
  • Due in 1 hour <br> screenshot below
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!