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
valina [46]
2 years ago
15

Describe and correct the error in finding the tenth term of the arithmetic sequence 4, 12, 20, 28.

Mathematics
1 answer:
ycow [4]2 years ago
7 0

Answer: The tenth term is 76

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

Explanation:

We use this arithmetic sequence formula to get the nth term

a_n = a_1 + d(n-1)

Plug in a_1 = 4, \ d = 8, \ n = 10 and you should get the following:

a_n = a_1 + d(n-1)\\\\a_{10} = 4 + 8(10-1)\\\\a_{10} = 4 + 8(9)\\\\a_{10} = \textbf{76}\\\\

The tenth term is <u>76</u>

---------

We can verify this by listing out the terms one by one. Start at 4, add on 8 each time, until you generate the 10th term. A table like the one shown below is a good way to keep track of all the terms.

\begin{array}{c|c}\boldsymbol{n} & \boldsymbol{a_n}\\1 & 4\\2 & 12\\3 & 20\\4 & 28\\5 & 36\\6 & 44\\7 & 52\\8 & 60\\9 & 68\\10 & \textbf{76}\\\end{array}

---------

In short, the error is with the "10" in the expression 4+10(8). The student should have used 9 instead. This is because of the n-1 term in a_n = a_1 + d(n-1) which shifts everything one spot to the left.

You might be interested in
Explain the difference between dry friction and drag due to fluid friction
lukranit [14]

Answer: Fluid friction describes the friction between layers of a viscous fluid that are moving relative to each other

Hope it helps:) I got it right on my test btw

Step-by-step explanation:

3 0
3 years ago
Fiona and her friends went to a smoothie shop. They ordered three strawberry smoothies and two protein shakes for a total of $24
IRINA_888 [86]
I believe the answer is 5.15 .
4 0
3 years ago
Give the range of the relation shown below​
Roman55 [17]

Answer:

Range { 3,7,11,15}

Step-by-step explanation:

The range is the output or y values

Range { 3,7,11,15}

4 0
2 years ago
Please help this is due today! geometry
sdas [7]
Please mark brainliest

Answer is 4 units

Explanation:

See the image as mathematical signs can’t be written here

7 0
3 years ago
Theo has one piece of train track that is 74 millimeters long and a second piece of train track that is 97 millimeters long.
umka21 [38]
A: 0.171 m, because 1 meter is 1,000 mm, and there is only 171 mm total.
3 0
3 years ago
Other questions:
  • Please match this proof​
    6·2 answers
  • What is the volume of a rectangle Kay prism that is 16 meters by 25 meters by 37 meters? PLZ HELP QUICK
    5·1 answer
  • Complete the following with the appropriate symbol
    7·1 answer
  • Please help me with number 1 through 3 pleasse!! I would appricate it and mark as brainliest. I promise.
    14·2 answers
  • Brainliest for whoever gets it right!
    9·1 answer
  • Helppp plzzzzzzzzzzz
    6·1 answer
  • Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
    8·1 answer
  • Please help me with this homework
    11·2 answers
  • My head hurts help will ya?​
    8·2 answers
  • Find the volume of the composite figure
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!