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
harina [27]
3 years ago
5

The first three terms of an arithmetic sequence are 3k-1, 4k+1, 6k-2. What is the value of k?​

Mathematics
1 answer:
yawa3891 [41]3 years ago
4 0

Answer:

k = 5

Step-by-step explanation:

First three terms of an AP are 3k-1, 4k+1, 6k-2.

First term is 3k-1

For an AP,

a₂-a₁=a₃-a₂

4k+1-(3k-1)=6k-2-(4k+1)

4k+1-3k+1=6k-2-4k-1

k+2=2k-3

Separating like terms,

k-2k=-3-2

-k=-5

k = 5

So, the value of k is 5.

You might be interested in
Hey fellas, giving brainliest and a lot of points to who gets this correct​
Ainat [17]

Answer:

7\frac{1}{12} or \frac{85}{12}

Step-by-step explanation:

total boxes = Jills boxes + Mikes boxes

total boxes = 5\frac{1}{3} +1\frac{3}{4}

                   = \frac{16}{3} + \frac{7}{4}

                   = \frac{64+21}{12}

                   = \frac{85}{12}

                   = 7\frac{1}{12}

3 0
3 years ago
If the leg of a triangle is 48 and the hypotenuse is 60 what is the length of the other leg
AURORKA [14]

Answer:

The length of the other would be 36.

Step-by-step explanation:

a² + b² = c²

b² = c² - a²

b² = 60² - 48²

b² = 3600 - 2304

b² = 1296

√b² = √1296

b = 36

4 0
3 years ago
4. Eddie drops a heavy book onto the floor. What does the energy of the book turn into when the book hits the floor?
Furkat [3]

Answer:

Heat and sound energy

Step-by-step explanation:

It starts off as potential energy, which is then converted to kinetic energy and by impact it'll develop a sound and heat energy.

Sound waves generates heat, and if some glass fell on the floor you can heat the shatter from the sound waves. The same goes for a book.

5 0
3 years ago
Pam and her brother both open savings accounts. Each begin with a balance of zero dollars. For every two dollars that Pam save i
dezoksy [38]

Answer:

Ratio [Pam to her brother] = 2:5

Step-by-step explanation:

Given:

Pam saves every two dollar

Her brother saves fives dollar (For every two dollar)

Find:

Ratio [Pam saving and his brothers saving]

Computation:

It is given that if Pam saves $2 her brother saves $5

So,

Ratio [Pam to her brother] = 2/5

Ratio [Pam to her brother] = 2:5

6 0
3 years ago
The isosceles triangle has a perimeter of 7.5m. Which equation can be used to find the value of x if the shortest side, y, measu
Alexus [3.1K]
2.1 +2x=7.5
2x=7.5-2.1
2x=5.4
x=2.7

3 0
3 years ago
Read 2 more answers
Other questions:
  • find the equation of the linear function which passes through the points (1,-3) and (4,-2) give your answer in y=mx+b form
    9·1 answer
  • Help pls any help is good
    5·2 answers
  • Which number sentence is true?
    6·1 answer
  • Point P on the number line shows Lara's score after the first round of a quiz: A number line is shown from negative 8 to 0 to po
    13·2 answers
  • A line segment is different from a line in that a segment has
    15·2 answers
  • Angles 1 and 2 are supplementary.
    5·1 answer
  • There are 575 fireworks to be shot off in a firework display every minute 12 new fireworks are shot off display write a verbal m
    15·1 answer
  • Please answer find two points!!!!please
    11·1 answer
  • At Color City Art Supply, Regan is deciding which painting kit to buy. She typically uses acrylic paints but is thinking of star
    15·2 answers
  •  listen
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!