Find the common difference of the arithmetic sequence 1,-1, -3, ...

Answers

Answer 1
Answer: Answer:
-2

Explanation:
The common difference of a sequence is the difference between consecutive terms. To find it, we subtract two consecutive terms.

1, -1, -3

1 and -1 are consecutive terms.
-1-1=-2

Therefore, the common difference is -2.

We can also try the same thing with -3 and -1, since they are also consecutive terms.

-3-(-1)
=-3+1
=-2

I hope this helps! Please comment if you have any questions.

Related Questions

1. Isaac goes to an amusement park where tickets for the rides cost $10 per sheet and tickets for the shows cost $15 each. (a) Write an expression that describes the amount of money Isaac will spend if he buys x sheets of the tickets for rides and y tickets for shows.(b) Evaluate the expression to find the total price that Isaac will pay if he buys 5 sheets of tickets for rides and 3 tickets for shows.
(5+2yi)(4-3i) - (5-2yi)(4-3i) in a + bi form, where y is a real number.
Glenn Andrews recently bought a new motorbike for $3,950. If he had to pay 6 percent sales tax on the
How to write repeating 3.01 as a mixed number
Slope= 1/5, y-intercept=1

What is the sum of the last four terms of the series 7+9+11+...+21

Answers

7 - 9 = 2 9 - 11 = 2 You should see that the series just increases by +2 therefore you can figure out what the last four terms are and then add them up one of the last terms given is 21

What is the quotient (x^3+8)/(x+2)

Answers

Answer:

Step-by-step explanation:

The easiest way to do this is by using synthetic division (I really hope you know what I'm talking about!)

If the factor is x + 2 = 0, then the solution or the root is x = -2.  We will put -2 outside the "box" and the coefficients from the terms of the polynomial inside the "box":

-2|   1    0    0    8

Bring down the first number and multiply it by the -2.  Put the product up under the first 0 and add:

-2|   1    0    0    8

           -2

      1   -2  

Now multiply the -2 by the -2, put the product up under the next 0 and add:

-2|   1    0    0    8

           -2    4

      1    -2    4

Now multiply the 4 by the -2, put the product up under the 8 and add:

-2|   1    0    0    8

           -2   4    -8

     1    -2   4    0

Those bold numbers are the coefficients to the quotient, which is another polynomial, but is one degree less than the one you started with:

x² - 2x + 4 = 0

Since there is no remainder, then x = -2 is a zero of x³ + 8, and (x + 2) is a factor.

There is a whole world of stuff to learn about quadratics!!

Find the surface area of a sphere with a radius of 2√2 feet.94.5 square feet
100.5 square feet
25.1 square feet
35.5 square feet

Answers

Answer: 100.5 square feet

Step-by-step explanation:

To find : surface area of sphere with radius of 2√(2)feet

The formula used to calculate surface area of sphere is = 4* \pi* r^2

where r is the radius of sphere.

Putting the values we get:

surface area of sphere = 4* 3.14* (2√(2)feet)^2=100.5square feet

Thus the surface area of a sphere with a radius of 2√2 feet is 100.5 square feet

Answer:

100.5 square ft

Step-by-step explanation:

Name a segment that is perpendicular to segment AB.G
E
A
D
H
F
B
С

Answers

Answer:

BC

Step-by-step explanation:

Whst is 15 divided by 6 2/3 equals

Answers

First you make 15 a fraction by putting it over 1.
Then you make 6 2/3 a mixed fraction.
To do this, you multiply 6 with 3 and add 2 to it. Then you put the number over 3.
We get
6 X 3 = 18
18 +2 = 20
20/3

Now, we divide 15/1 with 20/3.
When we divide it, we actually cross multiply it. Basically, we flip the fraction and multiply it.

So we get 15/1 X 3/20 = (15 X 3)/(1 X 20).

We get 45/20 which can be simplified to 9/5 which can be simplified to 2  1/4.

So the answer is 9/4 or 2  1/4.
If you would like to know what is 15 divided by 6 2/3, you can calculate this using the following steps:

6 2/3 = 20/3

15 / 20/3 = 15 * 3/20 = 45/20 = 9/4 = 2.25

Result: 15 divided by 6 2/3 equals to 9/4.

Question 3! How to do it?

Answers

Hello,

x/6=tan 60°==>x/6=√3==>x=6√3

Answer B