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
Over [174]
3 years ago
8

the first term of an arithmetic sequence is 5. the eleventh term is 125. what is the common difference of the arithemetic sequen

ce?
Mathematics
2 answers:
Tresset [83]3 years ago
6 0
The first term of an arithmetic sequence is 5. the eleventh term is 125. what is the common difference of the arithemetic sequence?
(1,5);(11,125)

Rate of change=change in y/change in x
=125-5/11-1=120/10=12

☆☆☆☆☆common difference of the arithemetic sequence is 12
ycow [4]3 years ago
5 0

Answer:

d=12

Step-by-step explanation:

The first term of an arithmetic sequence is i.e. a = 5

We are given that eleventh term is 125

Formula of nth term = a_n=a+(n-1)d

Where a is the first term

n is the term no.

d is the common difference

Substitute n = 11

a_{11}=5+(11-1)d

125=5+(11-1)d

120=10d

12=d

Hence The common difference of the arithmetic sequence is 12

You might be interested in
Please help and explain:<br> 16(n/2 - 2n/16 = 3/8)
patriot [66]
1. multiply both sides by 16

a. 8n-2n=6

b. Subtract the like terms on the left

6n=6

c. Divide both sides by 6

d. the answer is n=1
3 0
3 years ago
A sequence of transformations maps ∆ABC to ∆A′B′C′. The sequence of transformations that maps ∆ABC to ∆A′B′C′ is a reflection ac
Oksi-84 [34.3K]

Answer:

  • 3. line y=x
  • 4. 10 units to the right and 4 units up

Step-by-step explanation:

In the attached diagram, the green polygon A"B"C" is the reflection of ABC across the line y=x. Then the purple polygon A'B'C' is the translation of A"B"C" 10 units to the right and 4 units up.

_____

You can tell a reflection is involved, because the clockwise order of A, B, C in the original is reversed to counterclockwise in A'B'C'. The left-right horizontal line AC becomes the down-up vertical line A'C', so you know the reflection is across the line y=x, and not the line y=-x.

After the reflection, point A" is located at (2, -6), so moving it to A'(12, -2) entails a translation 10 units right and 4 units up.

7 0
4 years ago
A skydiver jumped out of a plane descended 0.8 miles in 2.5 minutes. What is the skydiver average change of altitude per minute?
Illusion [34]

.3

Because .8 divided by 2.5 equals .3

8 0
3 years ago
Read 2 more answers
Select all ordered pairs that satisfy the function y = 2x + 5. please help its due in 10 min!!! Brainliest!
SashulF [63]

b (-7, -9) and d (5, 15) are both ordered pairs that satisfy the function of y=2x+5. i hope this helps you :))

8 0
3 years ago
Read 2 more answers
Simplify 4(х + 7) - 7х + 2. А. 11х + 9 В. 11х + 30 с. -3х + 9 D. -3х + 30
BartSMP [9]

Answer:

-3x+30

Step-by-step explanation:

4\left(x+7\right)-7x+2

Expand 4(x+7)= 4x+28

4x+28-7x+2

Simplify 4x+28-7x+2

-3x+30

7 0
3 years ago
Other questions:
  • Please help me I don't know
    15·2 answers
  • Can someone help me with question ?
    10·2 answers
  • I need help finding x
    6·1 answer
  • If the density of the mantle rock is about 3.3 g/cm3, then what is its specific gravity?
    6·2 answers
  • PLS HELP IM CONFUSED
    5·2 answers
  • A book 28 cm tall leans against the sidewall of a bookcase. The bottom of the book starts to slide away from the wall at a rate
    14·1 answer
  • Please helpppppppppppppppppppppppppppppppppppppppp
    13·1 answer
  • Determine whether 6 is a solution of the equation 2x - 5 = 1.
    14·1 answer
  • A quadrilateral has two angles that measure 200 and 30°. The other two angles are in a
    13·1 answer
  • Factor the expression using the GCF.
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!