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3 years ago

Write the first five terms in the sequence defined by the explicit formula

Mathematics

2 answers:

Bas_tet [7]3 years ago

7 0

Answer: A

-1,2,7,14,23

SOVA2 [1]3 years ago

6 0

Answer:

D) -2, -1, 2, 7, 14

Step-by-step explanation:

Let's take the first five whole numbers.

0, 1, ,2, 3, 4

Now plug in n =1 in the explicit formula An = n^2 -2

When n = 0,

A0 = (0)^2 - 2 0 - 2= -2

When n = 1,

A1 = (1)^2 - 2 = 1 - 2 = -1

When n = 2,

A2 = (2)^2 - 2 = 4 - 2 = 2

When n = 3,

A3 = (3)^2 - 2 = 9 - 2 = 7

When n = 4,

A4 = (4)^2 - 2 = 16 - 2 = 14

Therefore, the first five terms are -2, -1, 2, 7, 14

Thank you.

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100 points!!! Pre calculus. I need helpppppppppp

Fantom [35]

Answer:

We have function,

$y = 3 - 6 \sin {}^{} (2x + \frac{\pi}{2} )$

Standard Form of Sinusoid is

$y = - 6 \sin(2x + \frac{\pi}{2} ) + 3$

Which corresponds to

$y = a \sin(b(x + c)) + d$

where a is the amplitude

2pi/b is the period

c is phase shift

d is vertical shift or midline.

In the equation equation, we must factor out 2 so we get

$y = - 6(2(x + \frac{\pi}{4} )) + 3$

Also remeber a and b is always positive

So now let answer the questions.

a. The period is

$\frac{2\pi}{ |b| }$

$\frac{2\pi}{ |2| } = \pi$

So the period is pi radians.

b. Amplitude is

$| - 6| = 6$

Amplitude is 6.

c. Domain of a sinusoid is all reals. Here that stays the same. Range of a sinusoid is [-a+c, a-c]. Put the least number first, and the greatest next.

So using that<em> rule, our range is [6+3, -6+3]= [9,-3] So our range</em> is [-3,9].

D. Plug in 0 for x.

$3 - 6 \sin((2(0) + \frac{\pi}{2} )$

$3 - 6 \sin( \frac{\pi}{2} )$

$3 - 6(1)$

$3 - 6$

$= - 3$

So the y intercept is (0,-3)

E. To find phase shift, set x-c=0 to solve for phase shift.

$x + \frac{\pi}{4} = 0$

$x = - \frac{\pi}{4}$

Negative means to the left, so the phase shift is pi/4 units to the left.

f. Period is PI, so use interval [0,2pi].

Look at the graph above,

6 0

3 years ago

Complete the statement to describe how to convert ounces to pounds?

Digiron [165]

Answer:

to find the weight in pounds, <u>divide</u> the number of ounces by the unit rate, <u>16</u> ounces per pound.

6 0

3 years ago

How to determine whether to move right or left on the number line when adding rational numbers?

Vedmedyk [2.9K]

So if you're adding two negatives you move left, positive you move right, and when you have to determine a negative, and a positive you just have to see which one is the farthest from zero which the farthest one's sign is either positive, or negative. Positive to move right, and negative to move left.

7 0

3 years ago

4. Use the substitution method to determine the solution to this system of equations.

N76 [4]

Answer:

No solution

Step-by-step explanation:

6X - 3Y = -9--------------(1)

- 2 X +Y= 5---------------(2)

from equation two,

Y = 5+2X------------------(3)

substitute equation (3) into equation (1)

6X-3(5+2X)= -9

opening bracket

6X-15-6X= -9

6X- 6X = -9+15

0 = 6

<h2>therefore the answer is no solution</h2>

3 0

2 years ago

Several factors influence the size of the F-ratio. For each of the following, indicate whether it would influence the numerator

enyata [817]

Answer:

(a) Increase the differences between the sample means this will increase the Numerator.

(b) Increase the sample variances will increase the denominator.

Step-by-step explanation:

F Ratio = Variance between treatments/ Variance within treatments.

Here,

(a) Increase the differences between the sample means:

- Will increase the Numerator and

- Size of the F-ratio would increase

(b) Increase the sample variances:

- Will increase the denominator and

- Size of the F Ratio would decrease.

8 0

3 years ago