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
scoundrel [369]
2 years ago
13

What is the common difference of the sequence below?

Mathematics
2 answers:
natima [27]2 years ago
8 0

Answer:

3

Step-by-step explanation:

Givens

Start by looking at the 'distance' (number of spaces) between 1 and 10

a = 1

l = 10

n of terms = 4

L_4 = 10

a = 1

Equation

L_4 = a + (n - 1)*d

10 = 1 + (4 - 1)*d

10 - 1 = 3d

9 = 3d

9/3 = d

d = 3

So the terms you get from 1 to 10

1  4   7 10

Discussion

But we actually started at 1, not -11. Let's fill in the 3 blanks leading up to 1

-11 ____ ____ ____ 1

a = - 11

t = 5

L= 1

1 = - 11 + (5 - 1) d

1 = -11 + 4d                Add 11

1+ 11 = 4d

12 = 4d

12/4 = d

d = 3

======================

Could we have done this more directly. Yes, we could have

a = - 11

t = 8       There are 8 terms in all.

L_8 = 10

L_9 = a + (n-1)d

10 = - 11 + (8-1)d

10+11 = 7d

21 = 7d

21/7 = d

d = 3

vagabundo [1.1K]2 years ago
3 0

Answer:

Step-by-step explanation:

In finding the COMMON DIFFERENCE, subtract the 2nd term and the first term.

a1 = -4

a2 = -2

Let "d" representing the COMMON DIFFERENCE.

d = -2 -(-4)

d = -2 + 4

d = 2

ANSWER:

THE COMMON DIFFERENCE OF THIS SEQUENCE IS 2

You might be interested in
16 divided 18 = 3 divided n
dedylja [7]
16/18=3/n
8/9=0.88888888 recurring
0.8888888 recurring*3=2 2/3
n=2 2/3
7 0
3 years ago
Read 2 more answers
Which number lint represents the solution set for the inequity -1/2x>4
g100num [7]

Answer:

B. x < -8

Step-by-step explanation:

Well first we need to get x by itself.

To do that we do 4 / -1/2 = -8

And since a negative was divided the > changes to a <.

So x<-8.

If x is less than -8 the line starts at -8 and goes to the left.

<em>Thus,</em>

<em>the answer is choice b.</em>

<em />

<em>Hope this helps :)</em>

5 0
3 years ago
A rectangular prism with a length of 14 meters, width of 5 meters, and height of 4.5 meters. A square pyramid with a base of 8 f
Lubov Fominskaja [6]

Answer:

315 and 128

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
X+3y=5
DerKrebs [107]

Answer:

That all the answer  hope i helped


8 0
2 years ago
Read 2 more answers
15/45 and 45/135 simplified
iren2701 [21]
"15/45" = "1/3"
"45/135" = "1/3" 
8 0
3 years ago
Other questions:
  • Select the most reasonable estimated answer. 527.8 – 321.9
    11·2 answers
  • Gary's bathroom measures 12 feet by 4 feet what is the area of the bathroom floor?
    15·2 answers
  • If sin x = 0.95, then what is cos x?
    11·1 answer
  • What is the median of the following numbers?<br> 8, 1, 2, 6, 1, 4
    8·2 answers
  • A Statistics class has an enrollment of 300. Out of these, 95 are taking the Actuarial Statistics major, 120 are Data Science ma
    5·1 answer
  • The line plot below shows the number of juice boxes Sandy drank on specific days. On which dates did Sandy drink the most and th
    9·2 answers
  • Find the mean absolute deviation of the set of data. Round your answer to two
    13·1 answer
  • Oh please help!! urgent it’s due in 10 minutes and I don’t get this one please help!
    10·1 answer
  • Find the remainder when 3x^3+ 6x-1 is divided by x-3​
    13·1 answer
  • Four graphs are shown below:
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!