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
timurjin [86]
3 years ago
8

Consider the geometric sequence 16, 8, a, 2, b, ... (a) Write down the common

Mathematics
1 answer:
Artist 52 [7]3 years ago
3 0

Find the common ratio by dividing.

16 / 8 = 2

8 / a = 2

2 / b = 2

The common ratio is 2.

Since we need to find the values of a and b, use the common ratio to solve for them.

8 / 2 = 4 (a)

2 / 2 = 1 (b)

Now, we know that first 5 terms.

We can solve for the 8th term using the previous terms and the common ratio.

6th term: 1 / 2 = 0.5

7th term: 0.5 / 2 = 0.25

8th term: 0.25 / 2 = 0.125

Part A: 2

Part B: a = 4, b = 1

Part C: 0.125

Best of Luck!

You might be interested in
American Vending supplies vended food to a large university. Because students often kick the machines out of anger and frustrati
Alexxandr [17]

Answer:

0.77

Step-by-step explanation:

From the information given:

The breakdown time (a)= 3 hours

The breakdown rate (λ) = 1/a = 1/3

Average flow time in the system (W) = 2.305 hours

For the entire system;

The average down machines L = Wλ

= 2.305 × (1/3)

= 0.77

3 0
3 years ago
Someone give me the answer
Butoxors [25]

a function that model the number of people that receives email in week t  is P(t)=37(4)^{\frac{t}{9.1}} .

<u>Step-by-step explanation:</u>

Here we have , Tobias sent a chain letter to his friends . The number of people who receives the email increases by a factor of 4 in every 9.1 weeks , and can be modeled by a function P, which depends on the amount of time t weeks . Tobias initially sent letter to 37 friends . We need to write a function that model the number of people that receives email in week t . Let's find out:

Basically it's an exponential function as

f(x) = e^{ax} , In question initial value is 37 & and for every 9.1 weeks there is increase in people by a factor of 4 i.e.

⇒ P(t)=37(4)^t

But , wait ! People increase in every 9.1 weeks not every week so modified equation will be :

⇒ P(t)=37(4)^{\frac{t}{9.1}}

Therefore , a function that model the number of people that receives email in week t  is P(t)=37(4)^{\frac{t}{9.1}} .

4 0
3 years ago
Simplify 0.75 (5v+11)-0.25 (11+v)
wariber [46]
<span>2 • (7v + 11) over  4 is your answer :)</span>
5 0
3 years ago
1.6 liters of drink were equally distributed into 20 cups how many liters of drink would be in each cup
zimovet [89]

Answer:

0.08

Step-by-step explanation:

1.6 liters of the drink was distributed in 20 cups

The litres of drink in each cup can be calculated as follows

= 1.6/20

= 0.08

Hence 0.08 liters of drink would be in each cup

6 0
3 years ago
dion flips a coin 20 times and records if it comes up heads. if getting heads is a success, what is the probability of a success
kolbaska11 [484]

Answer:

\frac{1}{2}

Step-by-step explanation:

The probability of success (getting heads) on one roll DOESNT affect other rolls, so we need to find probability of getting a head in a roll.

Probability is defined as the number of favorable outcomes divided by the total number of outcomes.

<em>Here, favorable outcome is getting a head. So, on one roll, getting a head is 1. Also, the total number of outcomes is either a head or a tail. So total number of outcomes is 2.</em>

Thus,

P(Heads) = 1/2

3 0
3 years ago
Other questions:
  • The sum of two numbers is 4. If the smaller number is twice the value of the larger number. What are the two numbers?
    5·1 answer
  • Given cos theta=24/25 and is located in Q3, Evaluate the rest of the trigonometric functions:. 1. sin theta=. 2. tan theta=. 3.
    5·1 answer
  • I need help finding (x) step by step please:) I will reward you will awarding you as a brainliest if you can do this for me.
    12·1 answer
  • The function, f(x) = –2x2 + x + 5, is in standard form. The quadratic equation is 0 = –2x2 + x + 5, where a = –2, b = 1, and c =
    7·2 answers
  • You have 24 candy you ate 3/4 how much you have leaft
    11·2 answers
  • What is the slope of the line that passes through the points (3,2) and (6, -2)
    6·1 answer
  • What is another way to write the equation ​
    7·1 answer
  • 30 points help me ASAP
    8·2 answers
  • Lucinda ran 3.7 miles in 30 minutes. What was her average time for each mile?
    10·2 answers
  • What is the solution of x+8=13
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!