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Dima020 [189]
2 years ago
11

A) Write the sequence of natural numbers which are multiplied by 3 ?

Mathematics
1 answer:
Volgvan2 years ago
8 0

Answer:

a) 3, 6, 9, 12, 15,...,3\cdot n, b) 4, 7, 10, 13, 16,...,3\cdot n +1, c) Both sequences are arithmetic.

Step-by-step explanation:

a) The sequence of natural numbers which are multiplied by 3 are represented by the function f(n) = 3\cdot n, n\in \mathbb{N}. Let see the first five elements of the sequence: 3, 6, 9, 12, 15,...

b) The sequence of natural numbers which are multiplied by 3 and added to 1 is represented by the function f(n) = 3\cdot n + 1, n\in \mathbb{N}. Let see the first five elements of the sequence: 4, 7, 10, 13, 16,...

c) Both sequences since differences between consecutive elements is constant. Let prove this statement:

(i) f(n) = 3\cdot n

\Delta f = f(n+1) -f(n)

\Delta f = 3\cdot (n+1) -3\cdot n

\Delta f = 3

(ii) f(n) = 3\cdot n +1

\Delta f = f(n+1)-f(n)

\Delta f = [3\cdot (n+1)+1]-(3\cdot n+1)

\Delta f = 3

Both sequences are arithmetic.

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Consider the numbers 3/10 and 4/13
serg [7]
Make bototm number same
3/10 times 13/13=39/130
4/13 times 10/10=40/130

A.
39/130 and 40/130
they are 1/130 apart


B.
a ratioal number between
39/130=390/1300
40/130=400/1300
between 390/1300 and 400/1300
any number from 391/1300 to 399/1300 example 395/1300


3 0
3 years ago
What is the area of the figure? A square with a length of 10 inches and a height of 10 inches. A triangle attached to the square
valentinak56 [21]
I dont know the answer havent done math in a long time guys so i dont know 
3 0
3 years ago
Nathan is 3 years older than Olivia. Determine the equation if n represents the age of Nathan and o represents the age of Olivia
Arte-miy333 [17]

Answer: A, n=o+3

Step-by-step explanation:

Nathan (n) is 3 years older than Olivia (o) so Nathan's age would equal Olivia's age plus 3 years.

Hope this helps :)

6 0
2 years ago
Read 2 more answers
For this Prism to be a right prism, all the lateral faces must be rectangles. Is enough infromation given to prove the lateral f
Ilia_Sergeevich [38]

Answer:

yes i think that is definitely enough intonation

6 0
3 years ago
What is the area of this figure? Round to the tenth if necessary.
Julli [10]

Answer:

<h3>b) 850.1 centimeters.</h3>

Step-by-step explanation:

To find the area of this figure, we must first find the areas of the shapes that compose this figure.

This figure is made up of a rectangle and a semicircle.

Remember: To find the area of a semicircle, multiply the radius by itself twice, then multiply the product pi, lastly divide the product by 2.

a=\pi r^2/2

<u>3.14 will be used for pi!</u>

To find the area of a rectangle, multiply the length by the width. The product is the area of the rectangle.

a=lw

Now, let's solve.

The diameter of the semicircle is 32 centimeters.

To find the radius of a semicircle, divide the diameter by 2.

32/2=16

The radius of the semicircle is 16 centimeters.

Now that we have the radius, we can find the area of the semicircle.

\pi 16^2/2=401.92

The area of the semicircle is 401.92 centimeters.

Furthermore, we find the area of the rectangle.

14*32=448.

The area of the circle is 448 centimeters.

Next, we add the areas of both shapes to find the area of this figure.

401.92+448

=849.92

The final step is to round 849.92 to the nearest tenth.

Even though 849.92 to rounded to the nearest tenth is 849.9, there is no answer choice for this. The closest one to this answer is choice 'b.'

I, therefore, believe the area of this figure is 850.1 centimeters.

3 0
2 years ago
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