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
timama [110]
3 years ago
6

Question 19 Find the next two numbers in the pattern. 9,-27,81, -243,.. ​

Mathematics
1 answer:
GaryK [48]3 years ago
6 0

Answer:

729 and -2187 are the next on the list

<em></em>

Step-by-step explanation:

Given

9,-27,81, -243,.. ​

Required

Determine the next two numbers

The first step is to determine the formula that guides the pattern

Start by expressing all elements in the pattern as a base of -3

This gives:

(-3)^2; (-3)^3; (-3)^4; (-3)^5;

Check if it corresponds with the given pattern

(-3)^2 = 9        (-3)^3 = -27     (-3)^4 = 81      (-3)^5 = -243

Let the above expression reflect their position in the pattern

(-3)^{1 + 1}; (-3)^{2 + 1}; (-3)^{3 + 1}; (-3)^{4 + 1};

By comparing each element;

We have that

T_n = (-3)^{n+1}

The next two numbers is when n = 5 and n = 6

When n = 5

T_5 = (-3)^{5+1}

T_5 = (-3)^6

T_5 = 729

When n = 6

T_6 = (-3)^{6+1}

T_6 = (-3)^7

T_6 = -2187

Hence;

<em>729 and -2187 are the next on the list</em>

You might be interested in
Help please! also an explanation would be helpful
JulsSmile [24]

There are two shapes a rectangle and a triangle.

Area of a rectangle = Length x width = 10 x 8 = 80 square ft.

Area of triangle = 1/2 x base x height = 1/2 x 6 x 8 = 24 square ft.

Total area = rectangle + triangle = 80 + 24 = 104 square ft.

Answer 104 square ft.

6 0
3 years ago
Read 2 more answers
andy is 5 kilogram less than twice his brother's. together they weigh 100 kilograms what are they weights
Minchanka [31]
<span>Let x be the brother's weight.
Then 2x-5 is Andy's weight.
x+(2x-5)=100
3x-5=100
3x=105</span>
6 0
3 years ago
Read 2 more answers
Question 1 of 10
alexandr1967 [171]
D is the right answer
3 0
4 years ago
Read 2 more answers
Rewrite without parentheses.<br> -3a^2c^4(5c^3+4a-8)<br> Simplify your answer as much as possible.
yanalaym [24]

Answer:

=−15a2c7−12a3c4+24a2c4

Step-by-step explanation:

6 0
3 years ago
What is the distance between (1,-2) and (6,10)
Bad White [126]

Answer:

5 left, (5,_) and 12 up. (5,12)

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • A cylindrical storage vessel is 7cm in diameter and 6m long. Find its volumes.
    14·1 answer
  • Solving for y 3x-y=8
    5·2 answers
  • The mass of hydrogen -3, tritium, is about 5.01 x 10-27 kg. Write this as a whole number.​
    5·1 answer
  • What is the quotient of -8a^8b^-2/10a^-4b^-10 in simplified form? Assume a=0 b=0
    13·2 answers
  • 1⁄7 + 1⁄2 + 3⁄4 =jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj
    12·1 answer
  • Let f(x)=x-2 and g(x)=x^2-7x-9 find f(g(-1))
    5·1 answer
  • To the nearest tenth, what is the length of the hypotenuse of an isosceles right triangle with a leg of 7 3 inches?
    13·2 answers
  • 8 The perimeter P of a regular pentagon is 90 cm. What is the length x of each<br> side?
    14·2 answers
  • Helppp me pleaseeeeeee
    12·1 answer
  • A recipe for bread calls for 3 cups of flour for every 1/2 ​ cup of water. Using the same recipe, how much water will you need f
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!