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4 years ago

Complete the table for each given sequence: On = 15+3(n − 1)

Mathematics

1 answer:

weeeeeb [17]4 years ago

4 0

Answer:

The complete table will be:

Term # Value of aₙ

1 15

5 27

10 42

20 72

Step-by-step explanation:

Given the sequence expression

aₙ = 15 + 3(n-1)

Substituting n = 1 for the first term

aₙ = 15 + 3(n-1)

a₁ = 15 + 3(1-1)

a₁ = 15 + 3(0)

a₁ = 15 + 0

a₁ = 15

Substituting n = 5 for the 5th term

aₙ = 15 + 3(n-1)

a₅ = 15 + 3(5-1)

a₅ = 15 + 3(4)

a₅ = 15 + 12

a₅ = 27

Substituting n = 10 for the 10th term

aₙ = 15 + 3(n-1)

a₁₀ = 15 + 3(10-1)

a₁₀ = 15 + 3(9)

a₁₀ = 15 + 27

a₁₀ = 42

Substituting n = 20 for the 20th term

aₙ = 15 + 3(n-1)

a₂₀ = 15 + 3(20-1)

a₂₀ = 15 + 3(19)

a₂₀ = 15 + 57

a₂₀ = 72

Therefore, the complete table will be:

Term # Value of aₙ

1 15

5 27

10 42

20 72

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4 years ago

F(x) = 9-5x For the function 3+x f-1(x). find

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3 years ago

Compare -1.96312... and square root of -5

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4 years ago

Help!! Please please answer quickly and in the next 9 hours! Solve these questions.

lutik1710 [3]

Answer:

Please refer to step-by-step.

Step-by-step explanation:

Let's solve all of these one at a time.

15. -2x - y = -5

To find the x-intercept, we need to equate the value of y to 0.

-2x - 0 = -5

$\dfrac{-2x}{-2}=\dfrac{-5}{-2}$

$x=2.5$

To find the y-intercept, we need to equate the value of x to 0.

-2(0) - y = -5

Now since we cannot have a negative value, we need to divide both sides by -1.

$\dfrac{-y}{-1}=\dfrac{-5}{-1}$

$y=5$

To find the slope form, we can simply transpose the value of -2x to the other sides of the equal sign.

-y = 2x - 5

Now we cannot have a negative value for the slope, we need to divide both sides by -1, leaving us with.

y = -2x + 5

16. 6x + 3y = -9

Let's start with the x-intercept.

6x + 3y = -9

6x + 3(0) = -9

$\dfrac{6x}{6}=\dfrac{-9}{6}$

$x=1.5$

Now we solve for the y-intercept.

6x + 3y = -9

6(0) + 3y = -9

$\dfrac{3y}{3}=\dfrac{-9}{3}$

$y = -3$

Now for the slope.

3y = -6x - 9

Now we need to divide all our variables by 3 to get y.

$\dfrac{3y}{3}=\dfrac{-6x}{3}-\dfrac{9}{3}$

$y=-2x-3$

17. x - y = 4

Let's start with the x-intercept.

x - y = 4

x - 0 = 4

$x=4$

Now we solve for the y-intercept.

x - y = 4

0 - y = 4

-y=4

$\dfrac{-y}{-1}=\dfrac{4}{-1}$

$y = -4$

Now for the slope.

x - y = 4

-y = -x + 4

We need to divide all our variables by -1 to get y.

$\dfrac{-y}{-1}=\dfrac{-x}{-1}+\dfrac{4}{-1}$

$y=x-4$

18. 3x + 4y = 12

Let's start with the x-intercept.

3x + 4y = 12

3x + 4(0) = 12

$\dfrac{3x}{3}=\dfrac{12}{3}$

$x=4$

Now we solve for the y-intercept.

3x + 4y = 12

3(0) + 4y = 12

$\dfrac{4y}{4}=\dfrac{12}{4}$

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Now for the slope.

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19. -7x + 2y = -16

Let's start with the x-intercept.

-7x + 2y = -16

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Now we solve for the y-intercept.

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Now for the slope.

-7x + 2y = -16

2y = -7x - 16

$\dfrac{2y}{2}=-\dfrac{7x}{2}-\dfrac{16}{2}$

$y=-\dfrac{7x}{2}-8$

20. x - 5y = 55

Let's start with the x-intercept.

x - 5y = 55

x - 5(0) = 55

x = 55

Now we solve for the y-intercept.

x - 5y = 55

0 - 5y = 55

$\dfrac{-5y}{-5}=\dfrac{55}{-5}$

$y=-11$

Now for the slope.

x - 5y = 55

-5y = x + 55

$\dfrac{-5y}{-5}=-\dfrac{x}{-5}+\dfrac{55}{-5}$

$y=-\dfrac{x}{5}-11$

8 0

3 years ago