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
enyata [817]
3 years ago
13

I’m stuck on this please someone help

Mathematics
1 answer:
kakasveta [241]3 years ago
6 0

Answer:   \bold{a_{n+1}=\dfrac{1}{2}a_n}

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

Term-to-term rule is also called the recursive rule.

The recursive rule for a geometric sequence is: a_{n+1}=a_n\cdot r  where

  • a_n\ \text{is the previous term}
  • r is the common ratio

The common ratio (r) is the second term divided by the first term <em>(which is the same ratio for each term divided by its previous term) </em>

In the given sequence {64, 32, 16, 8, 4}, r=\dfrac{32}{64}\quad \rightarrow \quad r=\dfrac{1}{2}

So, the recursive rule is: {a_{n+1}=a_n\cdot \dfrac{1}{2}

You might be interested in
To simplify5(2x-7) use distributive property
sveta [45]

Answer:

10×-35

Step-by-step explanation:

5×2=10

5×7=35

So the answer is 10x-35

8 0
3 years ago
Ellis is painting wooden fenceposts before putting them in his yard. They are each 5 feet tall and have a diameter of 1 foot. Th
Naya [18.7K]

Answer:

39.25 cubic feet of paint will be needed by Ellis.

Step-by-step explanation:

Volume of a cylinder:

The volume of a cylinder of radius r and height h is given by:

V = \pi r^2h = 3.14r^2h

How much paint will Ellis need to paint all the surfaces of the 10 fenceposts?

This is the combined volume of these 10 fenceposts.

They are each 5 feet tall and have a diameter of 1 foot.

Radius is half the diameter, so r = \frac{1}{2} = 0.5. Also h = 5

10 fenceposts:

Each has the same volume, so:

V = 10(3.14)r^2h = 31.4(0.5)^2(5) = 39.25

39.25 cubic feet of paint will be needed by Ellis.

6 0
2 years ago
Anyone know? Help is appreciated! Will mark brainliest if correct!
serious [3.7K]
D. 6 is correct answer
4 0
3 years ago
Read 2 more answers
Identify the cross section that results from slicing the three-dimensional figure.
dangina [55]

Answer:

b

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Find x<br><br><br><br><br> Thanks for the help in advance!
Marina86 [1]

I'm not sure if this is the easiest way of doing this, but it surely work.

Let the base of the triangle be AB, and let CH be the height. Just for reference, we have

AH=2,\quad HB=6,\quad AC=x

Moreover, let CH=y and BC=z

Now, AHC, CHB and ABC are all right triangles. If we write the pythagorean theorem for each of them, we have the following system

\begin{cases}4+y^2=x^2\\36+y^2=z^2\\x^2+z^2=64\end{cases}

If we solve the first two equations for y squared, we have

y^2=x^2-4\\y^2=z^2-36

And we can deduce

z^2 = x^2+32

So that the third equation becomes

x^2+x^2+32=64 \iff 2x^2 = 32 \iff x^2=16 \iff x=4

(we can't accept the negative root because negative lengths make no sense)

7 0
3 years ago
Other questions:
  • 1) Find EB, if AE = 3 cm , EB = x + 3 cm, DE = 6 cm and EF = x - 2 cm
    10·1 answer
  • What is the solution to the system of equations? Use the substitution method. {y=−2x+53x−4y=2 Enter your answer in the boxes.
    10·1 answer
  • What standard form polynomial expression represents the area of the triangle? 3g^2-6g+2
    5·1 answer
  • Find the domain of the graphed function. Help me please);
    12·1 answer
  • PLEASE HELP TIMED
    6·2 answers
  • Given that the measure of ∠x is 123°, and the measure of ∠y is 51°, find the measure of ∠z. °
    15·1 answer
  • Mrs .velazco gave her students four options to choose from for the class project
    14·1 answer
  • What does it mean to eliminate a variable?
    10·1 answer
  • Which is NOT true?<br> 11 = 11<br> 11 = 18 - 7<br> 11 + 5 = 15 + 11<br> 11 + 3 = 6 + 8
    11·2 answers
  • On a coordinate plane, a line is drawn from point a to point b. point a is at (9, negative 8) and point b is at (negative 6, 7).
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!