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2 years ago

Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form.

Mathematics

1 answer:

hammer [34]2 years ago

3 0

The given sequence is a geometric sequence with a common ratio of 3.

<h3></h3><h3>Which type of sequence do we have here?</h3>

A geometric sequence is a sequence where the quotient between any pair of consecutive terms is a constant, called the common ratio.

Here we have the sequence:

3, 9, 27, ...

The quotient between the first two terms is:

9/3 = 3

The quotient between the third and second terms is:

27/9 = 3.

So yes, we conclude that this is a geometric sequence, where the common ratio is 3.

If you want to learn more about geometric sequences:

brainly.com/question/1509142

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Please help me out !!!!!!

Zanzabum

Answer:

101.956 cm²

Step-by-step explanation:

The area (A) of a parallelogram is calculated using the formula

A = bh ( b is the base and h the perpendicular height )

here b = 14.2 and h = 7.18, hence

A = 14.2 × 7.18 = 101.956 cm²

4 0

4 years ago

Let f(x) = x^2 + 6x.

rusak2 [61]

Answer:

(A) The slope of secant line is 18.

(B) The slope of secant line is h+16.

Step-by-step explanation:

(A)

The given function is

$f(x)=x^2+6x$

At x=3,

$f(3)=(3)^2+6(3)=27$

At x=9,

$f(9)=(9)^2+6(9)=135$

The secant line joining (3,27) and (9,135). So, the slope of secant line is

$m=\dfrac{y_2-y_1}{x_2-x_1}$

$m=\dfrac{135-27}{9-3}=18$

The slope of secant line is 18.

(B)

The given function is

$f(x)=x^2+6x$

At x=5,

$f(5)=(5)^2+6(5)=55$

At x=5+h,

$f(5+h)=(5+h)^2+6(5+h)=h^2 + 16 h + 55$

The secant line joining (5,55) and $(5+h,h^2 + 16 h + 55)$ . So, the slope of secant line is

$m=\dfrac{h^2 + 16 h + 55-55}{5+h-5}$

$m=\dfrac{h^2 + 16 h }{h}$

$m=h+16$

The slope of secant line is h+16.

4 0

4 years ago

How do you write 1 tenth as a decimal

Bingel [31]

"one tenth" as a decimal is 0.1 .

8 0

4 years ago

Read 2 more answers

I need help someone help

Alex17521 [72]

D is the answer

because you are doing y=2(x+3)^2 - 5

First, do exponents

(x+3)(x+3) = x^2 + 6x + 9

now Multiply your answer by 2

2(x^2 +6x + 9) = 2x^2 + 12x + 18

Then, Subtract 5 from 18

2x^2 +12x + 18-5 = 2x^2 + 12x + 13

bringing you to answer D

3 0

3 years ago

Read 2 more answers

select the inequality that represents the relationship desribed below the sum of three times a number and seven is greater than

solong [7]

Answer:

There are many combinations based on the number you chose to subtract from both sides.

Step-by-step explanation:

Let the number be x.

According to the question,

3 x+7 > 4 x

We get, 3 x+1=4 x-6, after subtracting 6 from both sides.

3 x+1=4 x-6

4 x- 3 x=6+1

x=7

You will get the same answer if you subtract 3 x or 7 or any other number from both sides.

Thank you!

7 0

3 years ago