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
strojnjashka [21]
1 year ago
12

Given the sequence 4, 8, 16, 32, 64, ..., find the explicit formula.

Mathematics
1 answer:
Goshia [24]1 year ago
4 0

Answer:

\sf 2^{(n+1)}

Step-by-step explanation:

Explicit formula is used to represent all the terms of the geometric sequence using a single formula.

  \sf \boxed{\bf t_n=ar^{(n-1)}}

Here, a is the first term.

r is the common ratio.

r = second term ÷ first term

4, 8,16,32,64,.....

    a = 4

    r = 8 ÷4 = 2

\sf t_n =4*2^{(n-1)}

    \sf = 4*2^n * 2^{(-1)}\\\\     = 4*2^n*\dfrac{1}{2}\\\\     = 2*2^n

   \sf = 2^{(n+1)}

You might be interested in
Forty-seven percent of fish in a river are catfish. Imagine scooping out a simple random sample of 25 fish from the river and ob
Alexxx [7]

Question options:

The standard deviation is 0.0998. The 10% condition is not met because there are less than 250 fish in the river.

The standard deviation is 0.0998. The 10% condition is met because it is very likely there are more than 250 fish in the river.

The standard deviation is 0.9002. The 10% condition is met because it is very likely there are more than 250 fish in the river.

The standard deviation is 0.9002. The 10% condition is not met because there are less than 250 fish in the river.

We are unable to determine the standard deviation because we do not know the sample mean. The 10% condition is met because it is very likely there are more than 250 fish in the river

Answer:

The standard deviation is 0.0998. The 10% condition is met because it is very likely there are more than 250 fish in the river

Explanation:

Formula to calculate standard deviation = √p(1-p)/n

Given p= population proportion

n= sample size

From the question,

We are given p(population proportion of catfish in the river)= 0.47

n(sample size of fish collected from river) = 25

The standard deviation using the formula above = √0.47(1-0.47)/25

= 0.0998

The 10% condition demands that a sample size be not less than 10% of the population

To check if the 10% condition was met, we know that a river will likely have up to 250 fish in it and so,

10% of 250= 0.10×250=25 fish

Therefore the option B chosen is correct

8 0
3 years ago
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
olasank [31]

Answer:

x=18 y=69

Step-by-step explanation:

3x+5y=399

x+5y=363

2x=36

x=18

18+5y=363

5y=345

y=69

5 0
2 years ago
Subtract.<br><br> (29v)−(−13v+59)
lbvjy [14]

Answer:

(29v)−(−13v+59)

29v + 13v - 59

42v -59

5 0
2 years ago
Read 2 more answers
12 subtract 33 4ths
frez [133]

Answer:

3.75 or 15/4

Step-by-step explanation:

8 0
2 years ago
Tracy goes on a 3 day and night school band trip. There is no cost for travel and each band member only pays half the cost of th
Dennis_Churaev [7]

Answer:

D

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • I’m so confused, can someone help me out?
    14·1 answer
  • Two urns contain white balls and yellow balls. The first urn contains 2 white balls and 7 yellow balls and the second urn contai
    15·2 answers
  • QUESTION 3 Which inequality is a true statement?
    11·1 answer
  • The standard form of 230 000
    7·2 answers
  • Plzzzzzzzzzzzzzzzzzzzzzz help me nowwwwwwwwwwwwwwwww
    6·1 answer
  • Х<br> A number decreased by 4 is greater than 13.
    14·1 answer
  • One Solution, Infinite Solutions, No Solution
    11·1 answer
  • What theorem can be used to prove that the two triangles are congruent?
    5·1 answer
  • Frank works at Best Buy. After 2 hours he’ll earn $15.50. If he works 4 hours he’ll earn $31.00. Find the rate of change and wri
    15·1 answer
  • This is the function that models a boulder being pushed of a cliff. Find the height after 1.5 seconds.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!