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
Olin [163]
2 years ago
10

Directions: find the next three terms (1 point term) in each sequence.

English
1 answer:
Jlenok [28]2 years ago
8 0

The exercise below has to do with arithmetic progressions and or arithmetic sequence.

<h3>What is an Arithmetic Progression?</h3>

An arithmetic progression is a sequence of numbers where the difference between each consecutive term remains constant as the sequence progresses.

The next three terms  and the rule for finding the <em>nth </em>term in each sequence is given as follows:

A) 1.1,4,9,16,25,36.

The rule for finding the <em>nth </em>term: square each term in the arithmetic series 1², 2², 3², 4², ....nth term = n², etc to get the present term in the sequence.

That is:

1, 4, 9, 16, 25, 36  =   1² 2² 3² 4² 5² 6²  

To get the next three terms, we say:

= 7², 8² , 9² =  49, 64, 81

hence, new number sequence  1 , 4, 9, 16, 25, 36, 49, 64, 81.

B) 3, 5, 7, 9,

The rule for finding the nth term here is the Rule for finding the <em>nth </em>term: 2n + 1.

Hence:

3 = 2 (1) + 1 = 3

5 = 2 (2) + 1 = 5

7 = 2 (3) + 1 = 7

9 = 2 (4) + 1 = 9

Therefore the next three terms in the sequence will be arrived at as follows:

2(5) +1 = 10 + 1 = 11

2(6) + 1 = 12 + 1 = 13

2(7) + 1 = 14 + 1 = 15  

The updated number sequence is 3, 5, 7, 9, 11, 13, and 15.

C) 20, 16, 12, 8. The next three terms is gotten using the rule (20n-4n). That is:

20 - 4 = 16 =   [20 - 4(1) ]      

16 - 4 = 12  =   [20 - 4(2)]

12 - 4 = 8    =  [20 -  4(3)]. Thus the next three terms are:

[20 -  4(4)] = 4

[20 -  4(5)] = 0

[20 -  4(6)] = -4

Hence the updated number sequence is:
20, 16, 12, 8, 4, 0, -4  

Learn more about Arithmetic sequences at:
brainly.com/question/1450677

   

You might be interested in
True or False: The twins were together 24/7. This means the twins were always together.
Anna11 [10]
With this statement the answer would be true, because 24/7 means 24 hours-7 day a week.
8 0
3 years ago
How did Mark Twain's childhood influence his writing as an adult?
natita [175]
Mark Twain's greatest inspiration from his novel was his mother, his friend Will Bowen, and the slaves he encountered and a child. He mirrored the Character of Tom Sawyer as himself in the novel. I hope i helped!
7 0
3 years ago
What sentence structure is it best to use when writing to explain a process?
Arada [10]

Answer:

Compound.

Explanation:

It has at least 2 main ideas

4 0
3 years ago
Read 2 more answers
Who are the major characters in the passage? the sailors and friends the sun and sea gods Circe and the Sirens Helios and Perime
Mrrafil [7]
The sailors and friends.
7 0
3 years ago
'Your maag can't take it'.What does this sentence tell us about the township language Fugard has chosen for there thugs to use?​
emmasim [6.3K]

Answer:

they use tsotsi taal and its a mixure of english and afrikaans

Explanation:

tsotsi taal is the way of speaking or language used in the townships

8 0
2 years ago
Other questions:
  • Which of the following statements best illustrates irony?
    12·2 answers
  • 30 PTS + brainliest<br><br> ASAP
    13·2 answers
  • At the sight that met my eyes, my blood was changed into something exquisitely thin and icy. Yes, I had gone to bed Henry Jekyll
    5·2 answers
  • What can happen if your savings account balance goes below the required minimum daily balance?
    13·2 answers
  • How would your life be different if you were rich?
    5·2 answers
  • What’s The definition of hypocrite
    11·2 answers
  • Do you trust most of what the mass media sells? Explain.
    9·1 answer
  • 7. Transactional Model says people can be both sender and receiver,
    6·1 answer
  • Who invented the Television??​
    15·2 answers
  • Describe the evidence-based guidelines for safe patient handling when assisting m. T. Explain what ""no-lift"" or ""limited lift
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!