All categories

2 years ago

Write an equation for the sequence whose third item is 27 and each item is 5 more than the previous.

Mathematics

2 answers:

julsineya [31]2 years ago

6 0

9514 1404 393

Answer:

an = 17 +5(n -1)

Step-by-step explanation:

The first term can be found by working backward from the third term:

third term = 27

second term = 22 . . . . subtract 5 from 3rd term

first term = 17 . . . . . . . . subtract 5 from 2nd term

The generic term is given by the formula ...

an = a1 + d(n -1) . . . . . a1 = first term; d = common difference

Here, we have a first term of 17 and a common difference of 5. So, the sequence terms are described by ...

an = 17 +5(n -1)

mihalych1998 [28]2 years ago

5 0

Answer:

an = 17 +5(n -1)

Step-by-step explanation:

Hope this helps!!

You might be interested in

A right triangle has a hypotenuse of length 9 inches. If one angle is 35 degrees, find the length of each leg.

Montano1993 [528]

<span>90 + 35 = 125.
180 -125 = 55 degrees.

4.59^2 + 6.55^2 = 8^2
21.1 + 42.9= 64 inches</span>

7 0

3 years ago

Which graph represents 2x − 5y ≥ − 20

DENIUS [597]

Answer:

Go to desmos and it will answer literally all of your graphing questions. Just type in desmos graphing calculator.

Step-by-step explanation:

3 0

2 years ago

Analyzing a Graph In Exercise, analyze and sketch the graph of the function. Lable any relative extrema, points of inflection, a

Anit [1.1K]

Answer:

Analyzed and Sketched.

Step-by-step explanation:

We are given $y=\frac{\ln\left(5x)}{x^2}$

To sketch the graph we need to find 2 components.

1) First derivative of y with respect to x to determine the interval where function increases and decreases.

2) Second derivative of y with respect to x to determine the interval where function is concave up and concave down.

$y'=\frac{1-2\ln\left(5x)}{x^3}=0$

$x = \sqrt e/5$ is absolute maximum

$y''=\frac{6\ln\left(5x)-5}{x^4}=0$

$x=e^{5/6}/5$ is the point concavity changes from down to up.

Here, x = 0 is vertical asymptote and y = 0 is horizontal asymptote.

The graph is given in the attachment.

4 0

2 years ago

Point (2,3) is on a circle with the center (3,5). What is the radius of the circle?

ruslelena [56]

Can you add the picture to the question?

6 0

3 years ago

Read 2 more answers

Help on this please show my work ?

Mandarinka [93]

Factor the denominator
x^2+3x-10
(x+5)(x-2)

(x-2)/((x+5)(x-2))

The x-2 in the numerator and denominator cancel out.

Final answer: x+5

5 0

3 years ago