Is it possible to write a sequence that is both arithmetic and geometric

Answers

Answer 1

Answer: It is not possible to write a sequence that is both arithmetic and geometric.
An arithmetic sequence is:
a0, a0 + d, a0 + 2d, a0 + 3d, ...

An geometric sequence is:
a0, a0r, a0r2, a0r3, ...

So if the two are equal, we have:
a0 = a0,
a0 + d = a0r,
a0 + 2d = a0r2,
a0 + 3d = a0r3,
...

This can only be true if d = 0 and r =1 and only for the first three terms. It's a trivial sequence with only three elements which can't be necessarily classified as a sequence.

Related Questions

Let f(x) = 16x5 – 48x4 – 8x3 and g(x) = 8x2. Find f of x over g of x. a) 2x2 + 6x + 1 b)2x2 – 6x – 1 c)2x3 + 6x2 + x d)2x3 – 6x2 – x
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100 students take a course pass/fail. If they pass they get 4 points towards their GPA, if they fail they get 0. If 90 students pass, what is the mean and standard deviation (to 1 decimal) of the points earned?Mean: ________a0

Standard Deviation:________ a1

Answers

Formulas
Mean = total sum of points / # of data
[Stantard deviation] ^ 2 = {Sum of [every data - mean]^2 } / [number of data - 1]

Procedure:

Mean = total sum of points / # of data

Total sum of points = point of pass + point of fail

points of pass = 90*4 = 360
point of fail = 10*0 = 0
Total sum of points = 360

Number of data = 100

Mean = 360/100 = 3.6

[Stantard deviation] ^ 2 = {Sum of [every data - mean]^2 } / [number of data - 1]

[Sum of every data - mean]^2 = 90*[4 -3.6]^2 + 10* [0 - 3.6]^2 = 14.4 + 129.6 = 144

[Stantard deviation] ^ 2 = [144]/[100-1] =144/99

Standar deviation = √(144/99) = 1.206

Which pair of events is dependent?a. You get a head and a tail in two coin tosses with two different coins.
b. You get a head and a tail in two coin tosses using the same coin twice.
c. You pick two numbered billiard balls from a bag of balls one after the other without replacement.
d. You draw two red cards one after the other with replacement.

Answers

B) you get a head and a tail in two coin tosses using the same coin twice.

because it uses the same object not two objects

Answer:

I got C.

Step-by-step explanation:

8
1 point
Find the area. Answer without units.'
7 ft
8 ft.

Answers

Answer:

A = l*w

A= 7*8

A= 56

56 is the area

The function f(x) = 2 • 5x can be used to represent the curve through the points (1, 10), (2, 50), and (3, 250). What is the multiplicative rate of change of the function?

Answers

The MRC (multiplicative rate of change) can be solved using this formula:
MRC = f(x2)/f(x1) / (x2 - x1)
If we use the coordinates (1,10) and (2,50),
MRC = 50/10 / (2-1) = 5

If we use the coordinates (2,50 and (3,250)
MRC = 250/50 / (3-2) = 5

The MRC will be the same since the function is an exponential function.

The multiplicative rate of change of the function f(x) = 2 * 5^x is 5

How to determine the multiplicative rate?

The function is given as:

f(x) = 2 * 5^x

The above function is an exponential function.

An exponential function is represented as:

f(x) = ab^x

Where b represents the multiplicative rate

By comparison;

b = 5

Hence, the multiplicative rate of change of the function is 5

Read more about exponential functions at:

brainly.com/question/11464095

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Solve. 8/x + 15/x^2 = -1A.
x= 5,-3

B.
x= -5,-3

C.
x= -5,3

D.
x=5,3

Answers

8/x + 15/x^2 = -1
(8x+15)/x^2 = -1
8x + 15 = -1*x^2
8x + 15 = -x^2
x^2 + 8x + 15 = 0
(x+5)(x+3) = 0
x+5=0 ................ x+3=0
x = -5 ..................... x = -3

saludos :)

If the dimensions of a figure are doubled, then the area of the figure is___.