All categories

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.

You might be interested in

If Gabriel takes a 25 question multiple choice test and receives a score of 52%, how many questions did he answer correctly

Yanka [14]

Answer: 13 questions

Step-by-step explanation:

52% of 25 is 13

25/x=100%/52%

x=13

3 0

1 year ago

2x+3y=1 and y=-2 - 9 solve using linear combination method. Please explain steps.

kaheart [24]

Answer:

$x=17$

Step-by-step explanation:

$2x+3y=1$

$y=-2-9$

In order to combine these two equations, an idea you need to keep in mind is finding a way of setting these equations as equal to each other. I saw that each equation shared a common value, $y$ . In this case, we need to isolate $y$ in the first equation so that both equations $=y$ .

$2x+3y=1$

$3y=-2x+1$

$\frac{3y}{3}=\frac{-2x+1}{3}$

$y=-\frac{2}{3}x+\frac{1}{3}$

With this, we now know that both $-2-9$ and $-\frac{2}{3}x+\frac{1}{3}$ are equal to $y$ , so we can set them equal to each other.

$y=-\frac{2}{3}x+\frac{1}{3}$

$y=-11$

$-\frac{2}{3}x+\frac{1}{3}=-11$

Reply to this if anything I'm saying or doing is confusing in any way, or if you find a mistake. :) Solve for $x$ .

$-\frac{2}{3}x+\frac{1}{3}=-11$

$-\frac{2}{3}x=-11-\frac{1}{3}$

$-\frac{2}{3}x =-\frac{33}{3}-\frac{1}{3}$

$-\frac{2}{3}x =-\frac{34}{3}$

$-\frac{2}{3}x(-\frac{3}{2})=-\frac{34}{3}(-\frac{3}{2})$

$x=\frac{102}{6}=17$

$x=17$

Hopefully this answer is correct AND makes sense in terms of how I achieved it. Again, reply to this with any questions or mistakes I made and I'll do my best to answer or fix them.

4 0

2 years ago

Rectangle 1 has length 10 and width 20. Rectangle 2 is made by multiplying each dimension of Rectangle 1 by a factor of k=3

Gwar [14]

Answer:

30cm, 60cm

Step-by-step explanation:

Given data

Dimensions of the first rectangle

Length =10cm

Width =20cm

We are told that the dimensions of the second rectangle is gotten by multiplying the first rectangle by 3

Hence the dimensions of the second rectangle is

Length =10*3= 30cm

Width = 20*3= 60cm

5 0

2 years ago

A factory makes 1200 shirts every 6 hours.the factory makes shirts for 9 hours a workday. what is the fewest number of workdays

Dominik [7]

1. Divide the target number of shirts, 12,600 by the company's rate of making the shirts. That is,
number of hours = 12,600 shirts/ (1200 shirts/6 hours)
= 63 hours
2. Determine the number of workdays for them to complete the shirts by dividing 63 hours by 9 hours/workday. This will give us an answer of 7 workdays.

8 0

2 years ago

The surface area of the prism is ______ square units. All measurements in the image below are in units. (Input the whole number

Alex787 [66]

The surface area of the triangle is 1/2 * 6*8 so it is 24 sq units
The whole thing is 24* 7.5 so it is 180 sq units

7 0

2 years ago