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
What is the reason that thomas paine thinks the colonies stand a good chance against the british?
Mandarinka [93]
The reason that Thomas Paine thinks the colonies stand a good chance against the British is that the colonies can create a great navy out of its own resources.

Thomas Paine also believes that the youth of the colonies is an advantage of the colonies over Britain because the colonies as a young nation has less to lose than Britain.
7 0
3 years ago
Pronouns can also be ________ nouns.<br> 1. proper<br> 2. common<br> 3. collective<br> 4. compound
e-lub [12.9K]
A pronoun can also be B) Common noun. It’s either that or A) Proper noun. I’m sorry if I’m wrong but I know it’s one of the two.
5 0
2 years ago
BEST ANSWER GETS BRAINLIST. IN BREAKING POINT CHAPTER 2
Alla [95]

iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiliiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiliiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiliiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiliiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiliiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiliiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiliiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii

Spot The Difference For The Correct Answerr!!

6 0
3 years ago
Help me english fast
omeli [17]

Left:

1. left

2. shone

3. was

4. fished

5. changed

6. decided

7. hit

8. sunk

9. arived

10. held

Right:

1. When did the boat leave the port?

2. Where were the mean fishing?

3. What happened to the boat?

4. What did the men hold on to?

6 0
3 years ago
Read Maya’s personal narrative. 1. My sister is my best friend. 2. We’re really close together in age. 3. She’s fifteen and I’m
Molodets [167]

Answer:

The correct answer is D, between sentence five and six

Explanation:

The best place to add an example of how her sister is like a friend is between the sentences five and six, because it is there where she is talking about her sister´s characteristics as a friend and those things that make her a good friend, she could continue with the description of her characteristics between these two sentences.

7 0
2 years ago
Read 2 more answers
Other questions:
  • Why do machines have predominantly eliminated low-skill jobs ?
    10·1 answer
  • Write a couple of paragraph about the merits and demerits of cell phones.​
    15·1 answer
  • Which sentence does not have parallel structure? A) She will run the race, swim the laps, then bike the path. B) I suddenly felt
    10·2 answers
  • How does connotation help you know how an author feels about the subject he or she is writing about?(1 point)
    11·2 answers
  • Find one word that is incorrect. One suggestion as to why people yawn is
    8·2 answers
  • Fill in: fossil, energy. ozone, pesticides,
    13·1 answer
  • What is the effect of using a third-person limited narrator in “The Harvest”?
    14·1 answer
  • The frog contest took place in a Mississippi steam boat.<br> True or false
    7·1 answer
  • How do you think plagiarism has changed in the digital age? Is it easier or harder to plagiarize? Is it easier or harder to be c
    9·1 answer
  • Question 4 OT 19
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!