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
Misha Larkins [42]
2 years ago
12

Formula for the geometric sequence 1/2, 1, 2, 4

Mathematics
1 answer:
zmey [24]2 years ago
5 0

Answer:

a_{n} = \frac{1}{2} (2)^{n-1}

Step-by-step explanation:

the nth term of a geometric sequence is

a_{n} = a₁ (r)^{n-1}

where a₁ is the first term and r the common ratio

here a₁ = \frac{1}{2} and r = \frac{a_{2} }{a_{1} } = \frac{1}{\frac{1}{2} } = 2 , then

a_{n} = \frac{1}{2} (2)^{n-1}

You might be interested in
You how many miles are there in 86.88 km 1.6 km equals to 1 miles or conversion ​
ozzi
86.88 kilometers is 53.98 miles
3 0
3 years ago
What happens to the value of the expression 80-2r80−2r80, minus, 2, r as rrr decreases? Choose 1 answer: Choose 1 answer: (Choic
Pie

Answer:

(Choice B) B It decreases.

Step-by-step explanation:

According to the situation, the solution of the value of the expression is as follows

Let us assume

r         80 -2r

5        80 - 10 = 70

4        80 - 8 = 72

3        80 - 6 = 74

2        80 - 4 = 76

1         80 - 2 = 78

As we can from the above calculation that expression value risen if r value decreased

Therefore the correct option is B.

6 0
3 years ago
Read 2 more answers
A snail moved 5 feet in 2 hours. How many feet will the snail move in 5 hours?
mamaluj [8]
The best way to do this is to set up a proportion

2       5
--- = ----
5       x

then cross multiply and divide

5 times 5=25/2=12.5

he would move 12.5 feet in 5 hours

I hope I've helped!
4 0
3 years ago
The assembly of a machine takes 3/4 hour there are 12 steps in the assembly process what is the average time for each step
S_A_V [24]
We can solve this two different ways. I'll do both, and you choose which one makes the most sense:
We can divide the fraction 3/4 by 12. remember, when we divide fractions, we flip the second fraction and change the sign to multiplication:
3/4 ÷12     [starting equation]
3/4 x 1/12  [flip and change sign]
3/48    [now reduce]
1/16 Each step takes 1/16 of an hour. 
1/16 x 60 = 3 3/4, or 3.75 minutes

Second way:
3/4 of an hour is 3/4 of 60...45 minutes.
Still, we divide out:
45 ÷ 12   [starting equation]
3 9/12    [divide with remainder]
3 3/4 minutes...3.75 minutes

5 0
3 years ago
Solve for each equation
IrinaK [193]
<span>w divided by 7 1/2 
Substitute variable for numbers
5 5/6 divided by 7 1/2
Convert the mixed numbers into improper fractions
35/6 divided by 15/2
Convert the division sign to multiplication while flipping the fraction 15/2 to 2/15
35/6*2/15
Multiply
Final Answer: 70/90</span>
7 0
3 years ago
Read 2 more answers
Other questions:
  • The sum of a and 8<br> Shjdjjdjkdkdjdkd
    9·1 answer
  • A gym has yoga classes. Each class has 11 students. If there are c classes , write the equation to represent the total number of
    11·1 answer
  • 3. The picture below shows a relationship between the number of circles and triangles.
    5·1 answer
  • 1. What does c(3) = 60 mean in terms of the problem?
    14·1 answer
  • A triangle has angles that measure 46° and 61° what is the measure of the third angle
    8·2 answers
  • In a science class student made rockets out of empty 2-liter bottles. When launched, Karen's rocket reached a height of 12 and 1
    6·2 answers
  • There are 4 students in a study group they each have to complete 40 math problems per week. Here are the amounts they each have
    12·2 answers
  • A coconut is a fruit that is made up of a hard outer shell that is spherical. Inside, there is a thick layer of coconut meat tha
    12·1 answer
  • Marianne has been collecting donations for her biscuit stall at the school summer fayre. There are some luxury gift tins of bisc
    15·1 answer
  • Hiya! Can you guys help me? For all the four questions? It would mean a lot to me, thank you! I also ask if you guys can explain
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!