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
andriy [413]
3 years ago
15

Need an answer as soon as possible.

Mathematics
1 answer:
Elza [17]3 years ago
6 0
Part A

Answer: The common ratio is -2

-----------------------------------

Explanation: 

To get the common ratio r, we divide any term by the previous one

One example:
r = common ratio
r = (second term)/(first term)
r = (-2)/(1)
r = -2

Another example:
r = common ratio
r = (third term)/(second term)
r = (4)/(-2)
r = -2
and we get the same common ratio every time

Side Note: each term is multiplied by -2 to get the next term

============================================================
Part B

Answer:
The rule for the sequence is 
a(n) = (-2)^(n-1)
where n starts at n = 1

-----------------------------------

Explanation:

Recall that any geometric sequence has the nth term
a(n) = a*(r)^(n-1)
where the 'a' on the right side is the first term and r is the common ratio

The first term given to use is a = 1 and the common ratio found in part A above was r = -2
So,
a(n) = a*(r)^(n-1)
a(n) = 1*(-2)^(n-1)
a(n) = (-2)^(n-1)

============================================================
Part C

Answer: The next three terms are 16, -32, 64

-----------------------------------

Explanation:

We can simply multiply each previous term by -2 to get the next term. Do this three times to generate the next three terms

-8*(-2) = 16
16*(-2) = -32
-32*(-2) = 64

showing that the next three terms are 16, -32, and 64

An alternative is to use the formula found in part B

Plug in n = 5 to find the fifth term
a(n) = (-2)^(n-1)
a(5) = (-2)^(5-1)
a(5) = (-2)^(4)
a(5) = 16 .... which matches with what we got earlier

Then plug in n = 6
a(n) = (-2)^(n-1)
a(6) = (-2)^(6-1)
a(6) = (-2)^(5)
a(6) = -32 .... which matches with what we got earlier

Then plug in n = 7
a(n) = (-2)^(n-1)
a(7) = (-2)^(7-1)
a(7) = (-2)^(6)
a(7) = 64 .... which matches with what we got earlier

while the second method takes a bit more work, its handy for when you want to find terms beyond the given sequence (eg: the 28th term)
You might be interested in
7. A baseball has a radius of 2 inches. What is the volume in cubic inches of
Sever21 [200]

Answer:

33.49

Step-by-step explanation:

Volume of a sphere formula= 4/3πr^3

Radius= 2

Plug the radius into the formula to get your answer.

8 0
3 years ago
Which equation could have been used to create this function table?
Ierofanga [76]
It would be c. y = x because if you plug in the numbers, it would be true
8 0
3 years ago
Read 2 more answers
Help me please I really need!!! :)
WITCHER [35]

Answer:

\huge\boxed{\sf x = 1.8}

Step-by-step explanation:

\sf 2x-1.5 = 2.1\\\\Add \ 1.5 \ to \ both \ sides\\\\2x = 2.1 + 1.5\\\\2x = 3.6\\\\Divide \ 2 \ to \ both \ sides\\\\x = 3.6 / 2\\\\x = 1.8\\\\\rule[225]{225}{2}

Hope this helped!

<h3>~AH1807</h3>
5 0
3 years ago
HELP PLEASE 25 POINTS
Yuri [45]

Answer:

It is only 13

Step-by-step explanation:

Brainly takes away half points by the way

7 0
3 years ago
Read 2 more answers
ANSWER FAST PLEASE!!!
Ksivusya [100]

Answer:

Yes, with 12 feet leftover.

Step-by-step explanation:

For this problem, you will need to find the area of the floor and the area of both sides of the tent. To find the area of the floor, you will simply need to do 6(8) = 48. To find the area of the sides, you will need to use the Pythagorean theorem to find the height of the sides. Simply divide 6 by 2 to find b². So, the formula will be 3²+4² = c². Solve to get c = 5. Now, find the area of the rectangle by using the formula for area. 8(5) = 40. Multiply 40 by 2 because there are two sides. Now add the total area of both sides and the floor to get a total of 128. Now to see if the canvas can cover the area of the tent, do 140 - 128 to get 12. So the answer is yes, with 12 feet leftover.

Work:

Area of the floor:

6(8) = 48

Area of the sides:

A = 8(h)(2)

A = 16(h)

h² = 3² + 4²

h² = 9 + 16

\sqrt{h^{2} } = \sqrt{25}

h = 5

A = 8(5)(2)

A = 80

Total area of the tent:

80 + 48 = 128

Total area of the canvas:

14(10) = 140

Answer to the question:

140 - 128 = 12

By the way, sorry for the late answer. I bet this was on a test, right?

8 0
3 years ago
Other questions:
  • Which expression is equivalent to - 32 ^ (3/5)
    10·1 answer
  • Finding missing angles
    6·1 answer
  • The graph of a polynomial S(x) = (2x - 3)(x – 4)(x+3) has x-intercepts at 3.x values.
    7·1 answer
  • What is negative eight plus four​
    12·2 answers
  • Dg
    8·1 answer
  • Quadrilaterals and other polygons
    14·2 answers
  • Find the area of the shaded region.
    5·2 answers
  • Add 12 and 8 and then divide by 8 as an expression help please
    5·2 answers
  • Help help help help help help help
    5·1 answer
  • So far, Chris has burned 664.6 calories. He wants to burn a total of 800 calories. How many more calories must Chris burn?
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!