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3 years ago

Find a formula for the general term of the sequence, assuming that the pattern of the first few terms continues. 2, 9, 16, 23

2 answers:

5 0

This is an arithmetic sequence which means all of these terms are all the same distance from one another.
an=a1+d(n-1)
an=2+7(n-1)
an=2+7n-7
Answer: an=7n-5

musickatia [10]3 years ago

3 0

It increases by 7 and it's arithmetic progression:
Where d = 7
a = 2

and the formula will be

$a_{n}$ = a + d (n-1) = 2 + 7*(n-1)

Where n starts from 1 and continues to the infinity

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The difference of the square of a number and 28 is equal to 3 times that number find the positive solution

lutik1710 [3]

<h2>The required positive number is 7.</h2>

Step-by-step explanation:

Let the number = x

To find, the positive number = ?

According to question,

$x^{2}-28=3x$

⇒ $x^{2}$ - 3x - 28 = 0

By Factorisation method,

⇒ $x^{2}$ - 7x + 4x - 28 = 0

⇒ x(x - 7) + 4(x - 7) = 0

⇒ (x - 7)(x + 4) = 0

⇒ x - 7 = 0 or, x + 4 = 0

⇒ x = 7 or, x = - 4 [ - 4 is a negative number)

⇒ x = 7

Thus, the required positive number is 7.

8 0

3 years ago

Need help please! Will give it to the brainliest. Which expression models the bacterium's volume? Picture is below.

Tomtit [17]

The expression C. $\pi (1)^{2} (0.5)$ cubic $\mu \mathrm{m}$ represents the bacterium's volume.

Step-by-step explanation:

Step 1:

The E. Coli bacterium is in the shape of a cylinder.

The volume of a cylinder is given by multiplying π with the square of the radius (r²) and the height of the cylinder.

The volume of a cylinder, $V=\pi r^{2} h.$

In the given diagram, E. Coli has a radius of 1 $\mu \mathrm{m}$ and a height of 0.5 $\mu \mathrm{m}$ .

Step 2:

By substituting the values in the equation, we get

The volume of the E. Coli bacterium $= \pi (1)^{2} (0.5)$ cubic $\mu \mathrm{m}$ .

This is option C.

7 0

3 years ago

The perimeter of a rectangle is 72 m. The width of the rectangle is 16 m. What is the area of the rectangle?

liq [111]

Answer:

320m

Step-by-step explanation

a rectangle has four sides, two pairs of identical sides. So two sides are 16. So that adds up to 32. Perimeter is all sides added together. so it has to add up to 72. 72 minus 32 is 40, so two of the sides have to be 40. Area is length times width, so 16 times 20, which is 320.

6 0

3 years ago

Please answer<br> *Will give brainliest*<br> PLEASE DO NOT EXPLAIN

seraphim [82]

Answer:

a, c, c, d, c, c.

Step-by-step explanation:

I worked out the math

3 0

3 years ago

Mahad and Eren made 17 ounces of pizza dough. They used 5/8 of the dough to make a pizza and used the rest to make calzones.

matrenka [14]

9514 1404 393

Answer:

B) 4 2/8 ounces

Step-by-step explanation:

After 5/8 of the dough was used for pizza, the remaining amount is ...

1 -5/8 = 3/8

The difference between the amounts is then ...

(5/8×17 oz) - (3/8×17 oz) = (5/8 -3/8)×17 oz = 2/8×17 oz = 34/8 oz

= 4 2/8 oz

6 0

3 years ago