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antiseptic1488 [7]
3 years ago
9

Consider the arithmetic sequence:

Mathematics
2 answers:
swat323 years ago
6 0

Answer:

D) 8 + 2n for n > 1

Step-by-step explanation:

Leona [35]3 years ago
4 0

Answer:

If n is an integer, the function that generate the sequence 10, 12, 14, 16, ...  is \mathbf{d(n)=8+2n\:for\:n>1}

Option D is correct option

Step-by-step explanation:

We are given the arithmetic sequence:

10, 12, 14, 16, ...

If n is an integer, which of these functions generate the sequence?

We need to find the nth term for the given sequence

The nth term for arithmetic sequence will be: a_n=a_1+(n-1)d

where aₙ is nth term, a₁ is first term and d is common difference

Looking at the sequence a₁ = 10 and d = 2

So, nth term will be:

a_n=a_1+(n-1)d\\a_n=10+(n-1)2\\a_n=10+2n-2\\a_n=8+2n

So, nth term is: a_n=8+2n

In the options below, the only correct answer is option D. so, we can write nth term as: d(n) = 8 + 2n\: for\: n > 1

So, If n is an integer, the function that generate the sequence 10, 12, 14, 16, ...  is \mathbf{d(n)=8+2n\:for\:n>1}

Option D is correct option

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Lindsay says all numbers that are multiples of 4 have 2 as a factor. Is lindsay correct?
m_a_m_a [10]

Answer:

Yes

Step-by-step explanation:

Let's take any random multiple of 4 as an example:

8 = 2 • 4

64 = 2 • 32

20 = 2 • 10

Try any multiple of 4—this pattern continues.

7 0
3 years ago
The number of calories you burn depends on your weight. A 160​-pound person burns 237 calories during 30 minutes of tennis. Find
larisa [96]

Answer:

A 190-pound person would burn 285 calories at the same rate.

Step-by-step explanation:

<em>Calories burn depends on the weight</em>

<em>Weight of first person = 160</em>

Calories burn for 160 pounds in 30 mins =  237

Calories burn rate for 1 pound in 30 mins = \frac{237}{160} = 1.5


<em>Calories burn for 190 Pound person would be:</em>

Weight of second person = 190

Calories burn for 190 pounds in 30 min:

As the burn rate of calories is same for the two persons:

= rate × weight

= 1.5 * 190

= 285 calories

5 0
3 years ago
A
Reika [66]

The value of x will be equal to x = 79.

<h3>What is the triangle?</h3>

Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.

For an isosceles triangle, the value of two opposite angles is equal and the opposite sides are also equal.

The Sum of the three angles is equal to 180 degrees so the third angle will be calculated as:-

Angle = 180 - 142 - 19 = 19

Now applying Lami's theorem in the triangle we will get the third side.

\dfrac{sin\angle A}{a} = \dfrac{sin\angle B}{b} = \dfrac{sin\angle C}{c}

\dfrac{Sin 19}{42}= \dfrac{Sin142}{x}

x = \dfrac{42\times Sin 142}{Sin19}

x = 79

Therefore the value of x will be equal to x = 79.

To know more about triangles follow

brainly.com/question/17335144

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3 0
2 years ago
What is the slope of the line?
Evgesh-ka [11]
The slope of the line is 7/4
7 0
2 years ago
Read 2 more answers
Pls answer i need the answer
just olya [345]

Answer:

(-2,5)

Step-by-step explanation:

4x+4y=12

6x-4y=-32

10x=-20

x=-2

4(-2)+4y=12

-8+4y=12

4y=20

y=5

7 0
3 years ago
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