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3 years ago

What is the recursive rule for the following arithmetic sequence? -7, -4, -1, 2, 5, …

Mathematics

1 answer:

Ludmilka [50]3 years ago

6 0

Answer:

Recursive rule for arithmetic sequence = an = a[n-1] + 3

Step-by-step explanation:

Given arithmetic sequence;

-7, -4, -1, 2, 5, …

Find:

Recursive rule for arithmetic sequence;

Computation:

Let a1 = -7

So,

⇒ a2 = a1 + 3 = -4

⇒ a3 = a2 + 3 = -1

⇒ a4 = a3 + 3 = 2

⇒ a5 = a4 + 3 = 5

So, the recursive formula is

⇒ an = a[n-1] + 3

Recursive rule for arithmetic sequence = an = a[n-1] + 3

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Solve the following quadratic equation using the quadratic formula. Which of the following expressions gives the numerators of t

Illusion [34]

I hope the choices for the numerators of the solutions are given.

I am showing the complete work to find the solutions of this equation , it will help you to find an answer of your question based on this solution.

The standard form of a quadratic equation is :

ax² + bx + c = 0

And the quadratic formula is:

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

So, first step is to compare the given equation with the above equation to get the value of a, b and c.

So, a = 10, b = -19 and c = 6.

Next step is to plug in these values in the above formula. Therefore,

$x=\frac{(-19)-\pm\sqrt{(-19)^2-4*10*6}}{2*10}$

$=\frac{19\pm\sqrt{361-240}}{20}$

$=\frac{19\pm\sqrt{121}}{20}$

$=\frac{19\pm11}{20}$

So, $x=\frac{19-11}{20} ,\frac{19+11}{20}$

$x=\frac{8}{20} , \frac{30}{20}$

So, $x= \frac{2}{5} ,\frac{3}{2}$

Hope this helps you!

5 0

3 years ago

Read 2 more answers

A flower pot’s base has six sides that are all the same length. Each side measures x−6 units. The base’s perimeter is 78 units.

torisob [31]

6(x-6)=78
6x-36=78
6x-36+36=78+36
6x=114
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2 years ago

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Can anyone help me out on this not too sure on this

Paraphin [41]

Answer:

y = 0.1x - 4

Step-by-step explanation:

Given the following data;

Points on the x-axis (x1, x2) = (-3, 7)

Points on the y-axis (y1, y2) = (-7, -6)

First of all, we would find the slope;

Mathematically, slope is given by the formula;

$Slope = \frac{Change \; in \; y \; axis}{Change \; in \; x \; axis}$

$Slope, m = \frac {y_{2} - y_{1}}{x_{2} - x_{1}}$

Substituting into the equation, we have;

Slope = (-6 - (-7))/(7 - (-3))

Slope = (-6 + 7)/(7 + 3)

Slope = 1/10

Slope = 0.1

Next, we would write the equation using the formula;

y - y1 = m(x - x1)

y - (-7) = 0.1(x - (-3))

y + 7 = 0.1(x + 3)

y + 7 = 0.1x + 3

y = 0.1x + 3 - 7

y = 0.1x - 4

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3 years ago

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Volgvan

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2 years ago

Solve for t.

Greeley [361]

The answer is 5. Hope this helps

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3 years ago