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Elina [12.6K]
3 years ago
6

⎧

Mathematics
1 answer:
MrRissso [65]3 years ago
7 0

Answer:

f(n)=-5-3n

Step-by-step explanation:

Given the recursive formula of a sequence

f(1)=−8

f(n)=f(n−1)−3

We are to determine an explicit formula for the sequence.

f(2)=f(2-1)-3

=f(1)-3

=-8-3

f(2)=-11

f(3)=f(3-1)-3

=f(2)-3

=-11-3

f(3)=-14

We write the first few terms of the sequence.

-8, -11, -14, ...

This is an arithmetic sequence where the:

First term, a= -8

Common difference, d=-11-(-8)=-11+8

d=-3

The nth term of an arithmetic sequence is determined using the formula:

T(n)=a+(n-1)d

Substituting the derived values, we have:

T(n)=-8-3(n-1)

=-8-3n+3

T(n)=-5-3n

Therefore, the explicit formula for f(n) can be written as:

f(n)=-5-3n

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lesya [120]

Answer:

4,000 pounds = 2 tons

Step-by-step explanation:

2 tons is equal to 2,000 pounds, so 2 tons equal 4,000 pounds.

Hope this helps!

8 0
3 years ago
Need answer Immediately!!!!!!
slamgirl [31]

Answer:

I believe it is 48%

Step-by-step explanation:

The total amount of people who liked to read printed books is 67.

Then the total amount of people who liked either print or electronic books is 140.

If I am remembering correctly, you would divide 67 by 140 to get the percentage of people who like to read printed books.

<u>67/140 = 48%</u> (rounded)

4 0
3 years ago
What is 0.973.. as a fraction
Artyom0805 [142]
Well, since it has 3 numbers not including the 0, we could change it to 973/1000.
6 0
3 years ago
Read 2 more answers
The last answer is D. 15 meters
Lapatulllka [165]
5^2 +12^2= diagonal^2
25+144=d^2
169= d^2
D= 13
4 0
3 years ago
George has a triangle-shaped garden in his backyard. He drew a model of this garden on a coordinate grid with vertices A(4, 2),
GarryVolchara [31]

The coordinates of triangle A′B′C′ is  A′(2, 1), B′(1, 2), C′(3, 2)

On plotting the coordinates on the graph, it is found :

Option A is the coordinates of a straight line.

Option C is the coordinates of a bigger triangle

Option D has a different shape.

Only option B fulfills the required condition of similar shape and scale factor of 0.5 .

Vertices of a triangular garden:

A(4,2)

B(2,4)

C(6,4)

Scale factor = 0.5

What are the coordinates?

  • A coordinate system in geometry is a system that uses one or more numbers, or coordinates, to determine the position of points or other geometric elements on a manifold such as Euclidean space.
  • Coordinates are numerical distances or angles that uniquely identify points on two-dimensional (2D) surfaces or in three-dimensional (3D) space ( 3D ). Mathematicians, scientists, and engineers use a variety of coordinate schemes.

Learn more about coordinates here: brainly.com/question/24513436

#SPJ1

6 0
2 years ago
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