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Katarina [22]
3 years ago
10

What is the general term equation, an, for the arithmetic sequence 5, 1, −3, −7, . . . , and what is the 21st term of this seque

nce?
Mathematics
1 answer:
Sonja [21]3 years ago
6 0
The general term is obtained by starting with the initial value 5 and then subtracting 4 each time you wish to generate a new term:

a2 = second term = 5+(2-1)(-4)       =    5+(-4) = 1

General term:

an = nth term = 5+(n-1)(-4)

Thus, the 21st term is 5+(21-1)(-4) = 5 + (20)(-4) = -75 (answer)
You might be interested in
Eric reflected parallelogram ABCD across the x-axis. If angle A is 125° and angle B is 55°, what is the degree measurement of an
Sauron [17]
The measures of the angles don't change when you translate a figure, because the entire figure is moving as a whole. Imagine having a paper parallelogram, moving it around and flipping it over. Not even dilations would change these angles (for reasons that can be pretty easily visualed but not really proven until geometry)

m\angle A'=125\°
7 0
3 years ago
Plz answer this correctly.....plzzzzz quickly......:)<br>&lt;3.....​
kramer

Answer:

31.01, 180.8, 0.2, 15501

Step-by-step explanation:

Puzzle 1:

The first rule takes out 301

The second rule has to have a 1 in the units place so that takes out 3.1, 3.101, and 30.1

The 3rd rule takes out 1.01, and 1.03

Rule 4, is self explanatory, so it takes out 31.3

and the last rule takes out 31.1 bc there is no hundredths column

That leaves you with 31.01

Puzzle 2:

Rule 1 takes out 18180

Rule 2, self explanatory, takes out 180

Rule 3 takes out numbers less than 18 so 1.81 and 0.18

Rule 4 takes out  18.01, 1800, 188, and 18.8

That leaves you with 180.8

Puzzle 3:

Rule 1 takes out 0.24, 0.5, and 2.02

Rule 2 takes out 0.15

Rule 3 takes out 0.02, 0.01 and 0.1 (bc it just says greater than and not equal to so it takes this one out)

Rule 4 takes out 0.12

That leaves you with 0.2

Puzzle 4:

Rule 1 takes out 45000

Rule 2 takes out 5401, 5444, and 4544

Rule 3 takes out 5454

Rule 4 does not take out any because all the remaining numbers ( 14500, 15501, 14534, and 10500) have 5 hundreds

Rule 5 takes out 14500, 14534, and 10500

That leaves you with 15501

Hope this helped :)

5 0
2 years ago
I’m really bad at math lol someone help
Llana [10]

Answer: The answer is the last one


Step-by-step explanation:First you have to know what exterior angles equal


6 0
3 years ago
Need a quick answer please
Over [174]

Answer:

39

Step-by-step explanation:

6x-15+3x+6=90

Simplify: 9x-9=90

9x=99

x=11

3(11)+6

33+6

<H= 39

5 0
3 years ago
A ticketholder on the merry-go-round is riding a horse that is at a radius of 12 feet. How far does she travel after the merry-g
OLEGan [10]

The correct value of the angle of rotation is 3π/5

Answer:

Distance travelled ≈ 22.6 ft

Step-by-step explanation:

We are given;

Radius;r = 12 ft

Angle of rotation; θ = 3π/5

The formula for calculating distance travelled is;

Distance travelled = rθ

So, plugging in the relevant values;

Distance travelled = 12 x 3π/5

Distance travelled ≈ 22.6 ft

3 0
3 years ago
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