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
andrew11 [14]
2 years ago
15

"Which of the following sequences of numbers are arithmetic sequences? Check all that apply.

Mathematics
2 answers:
defon2 years ago
5 0
B) 154, 171, 188, 205, 222
A constant value (17) is added to get the next number
klasskru [66]2 years ago
3 0

Answer:

Option B, C, D

Step-by-step explanation:

We have to find the arithmetic sequence from the sequences given in the question.

To solve this question we will use the property of an arithmetic sequence that every successive term of an arithmetic sequence has a common difference.

(A) 1, -2, 3, -4, 5 .....

d_{2}-d_{1} = -2 -1 = -3

d_{3}-d_{2} = 3 - (-2) = 3 + 2 = 5

Sequence is not an arithmetic sequence

(B)  154, 171, 188, 205, 222 .....

a_{2}-a_{1} = 171- 154 = 17

a_{3}-a_{2} = 188 - 171 = 17

The sequence is an arithmetic sequence having common difference = 17

(C) 12,345, 12,346, 12,347......

a_{2}-a_{1} = 12,346 - 12,345 = 1

a_{3}-a_{2} = 12,347 - 12,346 = 1

Therefore, the sequence is an arithmetic sequence

(D) -3, -10, -17, --24, -31

a_{2}-a_{1} = -10 + 3 = ( -7 )

a_{3}-a_{2} = -17 + 10 = ( -7 )

This sequence is an arithmetic sequence

(E) 1, 8, 16, 24, 32 ....

a_{2}-a_{1} = 8 - 1 = 7

a_{3}-a_{2} = 16 - 8 = 8

Difference in terms is not common. Therefore, sequence is not an arithmetic sequence.

Option B,C,D are arithmetic sequences.

You might be interested in
can someone help with this please! tell what number each symbol is equivalent to and be sure to show how to answer it, i will gi
zloy xaker [14]

Answer:

1

Step-by-step explanation:

6 0
2 years ago
The model below represents an equation. Write the equation that is modeled then find what value of x makes the equation true.
LenaWriter [7]
6x-5=4x+5
x=5
I hope this helps you
4 0
3 years ago
Write the number 3/100 as a decimal.
lianna [129]

Answer:

Step-by-step explanation

0.03.

7 0
3 years ago
I have 7 hundreds blocks, 5 tens blocks, and 8 ones blocks. I use my blocks to model two 3-digit numbers. What could my two numb
lawyer [7]
There 7 blocks of hundreds which means each such block is equivalent to 100.
There are 5 blocks of tens, which means each such block is equivalent to 10.
There are 8 blocks of ones, which means each such block is equivalent to 1.

The total of these blocks will be = 7(100) + 5(10) + 8(10) = 758

We can make several two 3-digit numbers from these blocks. An example is listed below:

Example:
Using 3 hundred block, 2 tens blocks and 4 ones block to make one number and remaining blocks to make the other number. The remaining blocks will be 4 hundred blocks, 3 tens blocks and 4 ones blocks
The two numbers we will make in this case are:

1st number = 3(100) + 2(10) + 4(1) = 324
2nd number = 4(100) + 3(10) + 4(1) = 434

The sum of these two numbers is  = 324 + 434 = 758
i.e. equal to the original sum of all blocks.

This way changing the number of blocks in each place value, different 3 digit numbers can be generated. 
5 0
3 years ago
Help with number 5 show work and explanation <br> ASAP PLEASE!!!!!!
ExtremeBDS [4]
Here !!!!!!!!!!!!!!!!!!!!

4 0
3 years ago
Other questions:
  • In 2004, the world's fastest knitter was able to knit 225 stitches in 3 min. How long would she take to knit a scarf that was 20
    8·1 answer
  • A right rectangular prism is made up of 8 cubes. Each cube has an edge of length of 1/2 inch. What is the volume of this prism?
    7·1 answer
  • What is the answer to 2y−y+7−1+3+7x 2 −4y
    13·1 answer
  • Can someone help. Please
    14·1 answer
  • A consumer organization estimates that 32% of the households in a particular community have one television set, 38% have two set
    15·1 answer
  • WILL GIVE BRAINLIST AS SOON AS I CAN I've also never seen this question before either?? Very confused.
    7·1 answer
  • Please helppppp Is this correct
    9·1 answer
  • QUICK HELP PLEASE! THANK YOU SO MUCH
    5·1 answer
  • The area of a rectangular painting is 4389 cm?.
    13·1 answer
  • A bit in a hurry here! Could anyone please help out here?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!