1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nutka1998 [239]
3 years ago
8

The first term of an arithmetic sequence is -2. The eighth term of the sequence is 26. What is the common difference of the arit

hmetic sequence?
Mathematics
2 answers:
andreev551 [17]3 years ago
8 0

Answer:

d = 4

Step-by-step explanation:

The n th term of an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₁ = - 2 and a₈ = 26 , then

- 2 + 7d = 26 ( add 2 to both sides (

7d = 28 ( divide both sides by 7 )

d = 4

Dmitry_Shevchenko [17]3 years ago
7 0

Answer:

d = 4

Step-by-step explanation:

a₁ = -2

a₈ = aₙ = 26

n = 8

aₙ = a₁ + d(n-1)

d = aₙ - a₁ / (n-1)

d = 26 -(-2) / (8-1)

d = 26 + 2 / 7

d = 28 / 7

d = 4

-2

-2 + 4 = 2

2 + 4 = 6

6 + 4 = 10

10 + 4 = 14

14 + 4 = 18

18 + 4 = 22

22 + 4 = 26

You might be interested in
Select "Yes" or "No" to indicate whether the ordered pair is on the graph of the function f(x)=−9^x+1 .
Vinil7 [7]
I'm assuming your function is f(x) = -9^(x+1)
So we just have to plug in and see if the function is true.

1) -9^(0+1) = -9^1 = -9
YES

2) -9^(1+1) = -9^2 = -81
NO

3) -9^(-1+1) = -9^0 = -1
YES
5 0
3 years ago
Нужно срочное подробное решение заданий с подробным обьяснением<br> !!!Дам 20 очков!!!
Sergeeva-Olga [200]

Answer:whaaaat?

Step-by-step explanation:

5 0
2 years ago
What is the x-intercepts of the graph of y = 12x-5x-2
devlian [24]
Hey there!

First, we see that it's already written in slope intercept, y = mx + b where m is the slope and b is the y intercept, we just need to simplify the like terms on the right. We have:

y = 12x-5x-2
y = 7x - 2

Now that we have it in slope intercept form, whenever we have an x intercept, since it is crossing the x axis, there's no y value. We plug in 0 for y:

0 = 7x - 2
2 = 7x
2/7 = x

The x intercept is (2/7, 0)

Hope this helps!
6 0
3 years ago
Marcus lives 1,250 yards from school. Evan lives 3,720 feet from school. Who lives the closest to school?
balu736 [363]

3 ft. = 1 yard

1,250 × 3 = 3,750

Evan lives closer to school.

6 0
3 years ago
Read 2 more answers
Marking brainliest <br><br> Don’t know what to write for the last 2
nlexa [21]

Answer:

Business, management, marketing and technology.

Engineering, manufacturing and industrial technology.

i am not sure but i hope it will help you.

please mark me as brainlest.

4 0
2 years ago
Other questions:
  • 15= -45 + 5n solve for n
    5·2 answers
  • (3x+8) (4x+10) what is the length
    8·1 answer
  • Pls can someone help me and have it right
    13·1 answer
  • Point Q is reflected over the x-axis onto its image Q'(-7,-3). Determine the coordinates of the pre-image. A(7, 3) B(7, -3)C (-
    8·1 answer
  • What is cos 45°?<br><br>A. 1<br>B. 1/sqrt of 2
    8·1 answer
  • At 4 p.m., the temperature started to change drastically. Each hour, for three hours, the temperature decreased by 7°F. Which ex
    14·2 answers
  • 11499 round to the nearest thousand
    15·2 answers
  • Which of the following could be its equation?
    7·1 answer
  • Percy has an account balance of -33 dollars I. His checking account
    11·1 answer
  • Audrey deposited $40,000 in a savings account with simple interest. Five years later, she had earned $30,000 in interest. What w
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!