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
Alenkinab [10]
3 years ago
7

Given a geometric sequence in the table below, create the explicit formula and list any restrictions to the domain.

Mathematics
1 answer:
Makovka662 [10]3 years ago
5 0

Given:

The geometric sequence is:

n              a_n

1                        -4

2                      20

3                     -100

To find:

The explicit formula and list any restrictions to the domain.

Solution:

The explicit formula of a geometric sequence is:

a_n=ar^{n-1}            ...(i)

Where, a is the first term, r is the common ratio and n\geq 1.

In the given sequence the first term is -4 and the second term is 20, so the common ratio is:

r=\dfrac{a_2}{a_1}

r=\dfrac{20}{-4}

r=-5

Putting a=-4,r=-5 in (i), we get

a_n=-4(-5)^{n-1} where n\geq 1

Therefore, the correct option is B.

You might be interested in
PLEASE ANSWER QUICK 2 MINUTES ON THE TIMER
snow_lady [41]
<h3>- - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - </h3>

➷ Turn into improper fractions:

8/3 + 5/3

Now just add them:

13/3 or 4 1/3

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

8 0
3 years ago
Read 2 more answers
Help giving brainliest !!
Travka [436]
The altitude is 6/4 but originally it’s 16 hope this helps ;)
6 0
2 years ago
Find the area of the parallelogram.<br>​
iris [78.8K]

Answer:

1.12x14=208

Step-by-step explanation:

base X height

4 0
2 years ago
Solve each equation. <br><br>2p = 2 p = _____<br><br>q - 3 = 7 q = _____​
svp [43]
P=1
q= 10
p=1 because 2x1 equals 2
q= 10, because 10 minus 3=7(just add 7+3)
8 0
2 years ago
Read 2 more answers
Detective pi is having a birthday party for the first baby rhino. the cake serves 50 people and cost $120. how much does the cak
Yuki888 [10]
See my answer to the other posting of the same question.
3 0
3 years ago
Other questions:
  • Which would NOT be an appropriate way to generate 10 random integers to use in one trial of a probability simulation?
    15·2 answers
  • 6<br> Σ (12 – 4 i)<br> i = 3
    9·1 answer
  • If A ⊂ B, then which of the following describes the relationship between A and B?
    8·2 answers
  • Ashley deposits $500 into an account that earns 2% interest compounded 3 times per year. How much money will Ashley have in her
    14·1 answer
  • Which answer is it? I just learned this today, so I'm confused.​
    9·1 answer
  • I need help please and thank you
    6·2 answers
  • Suppose the probability of success in a binomial event is 0.15. what is the probability of failure
    11·1 answer
  • → PLEASE HELP ME !!! [99 POINTS] ←
    11·2 answers
  • Need help! 20 points!<br> No links please
    7·1 answer
  • Pythagorean triples are super important to know. If the hypotenuse of a triangle is 15, what are its legs ( hint - use the three
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!