9114 Number Patterns Arithmetic Rule From First 3 Terms

  • 5th Grade,
  • 6th Grade,
  • 7th Grade
  • CCSS.MATH.CONTENT
Reviewed by Editorial Team
The ProProfs editorial team is comprised of experienced subject matter experts. They've collectively created over 10,000 quizzes and lessons, serving over 100 million users. Our team includes in-house content moderators and subject matter experts, as well as a global network of rigorously trained contributors. All adhere to our comprehensive editorial guidelines, ensuring the delivery of high-quality content.
Learn about Our Editorial Process
| By Anthony Nunan
A
Anthony Nunan
Community Contributor
Quizzes Created: 132 | Total Attempts: 47,845
| Attempts: 154 | Questions: 20 | Updated: Mar 19, 2025
Please wait...
Question 1 / 20
0 %
0/100
Score 0/100
1) For the sequence above, the rule for the arithmetic sequence is :

Explanation

The given rule for the arithmetic sequence is -25-8n. This means that each term in the sequence can be obtained by subtracting 8 multiplied by the position of the term (n) from -25. This rule follows the pattern of decreasing by 8 as n increases, resulting in a sequence of numbers that get progressively smaller.

Submit
Please wait...
About This Quiz
9114 Number Patterns Arithmetic Rule From First 3 Terms - Quiz

In this quiz, we are given the first three terms, and have to create the rule from those terms.
So. . . From 3, 205, 405, the answer becomes : tn=-195+200n
In this quiz, you are given and you only need to type out the right side of... see morethe equation. see less

2) For the sequence above, the rule for the arithmetic sequence is :

Explanation

The given arithmetic sequence is 17+6n, where n represents the position of the term in the sequence. This means that the first term is 17, the second term is 17+6(1) = 23, the third term is 17+6(2) = 29, and so on. The pattern is that each term is obtained by adding 6 to the previous term. Therefore, the correct answer is 17+6n.

Submit
3) For the sequence above, the rule for the arithmetic sequence is :

Explanation

The given sequence follows an arithmetic pattern where each term is obtained by subtracting 3n from 1. This means that for each term, the value of n increases by 1 and is multiplied by -3, which is then subtracted from 1. Therefore, the correct answer is 1-3n.

Submit
4) For the sequence above, the rule for the arithmetic sequence is :

Explanation

not-available-via-ai

Submit
5) For the sequence above, the rule for the arithmetic sequence is :

Explanation

not-available-via-ai

Submit
6) For the sequence above, the rule for the arithmetic sequence is :

Explanation

The given rule for the arithmetic sequence is -48+10n. This means that each term in the sequence can be found by multiplying the position of the term (n) by 10 and then subtracting 48. For example, when n=1, the first term is -48+10(1) = -38. When n=2, the second term is -48+10(2) = -28. This pattern continues for each term in the sequence.

Submit
7) For the sequence above, the rule for the arithmetic sequence is :

Explanation

not-available-via-ai

Submit
8) For the sequence above, the rule for the arithmetic sequence is :

Explanation

not-available-via-ai

Submit
9) For the sequence above, the rule for the arithmetic sequence is :

Explanation

The given arithmetic sequence can be represented by the formula 36-30n, where n represents the position of each term in the sequence. This means that as n increases, the terms in the sequence decrease by 30. For example, when n=1, the first term is 36-30(1) = 6, and when n=2, the second term is 36-30(2) = -24. Therefore, the formula accurately describes the pattern in the sequence.

Submit
10) For the sequence above, the rule for the arithmetic sequence is :

Explanation

The given rule for the arithmetic sequence is -136+100n. This means that each term in the sequence is obtained by multiplying the position of the term (n) by 100 and then subtracting 136 from it. This rule will give us the correct value for each term in the sequence.

Submit
11) For the sequence above, the rule for the arithmetic sequence is :

Explanation

The given arithmetic sequence is represented by the formula -19+8n, where n represents the position of each term in the sequence. This means that each term in the sequence can be obtained by substituting the corresponding value of n into the formula. For example, when n=1, the first term is -19+8(1) = -11. Similarly, when n=2, the second term is -19+8(2) = -3. Therefore, the formula -19+8n correctly represents the arithmetic sequence.

Submit
12) For the sequence above, the rule for the arithmetic sequence is :

Explanation

not-available-via-ai

Submit
13) For the sequence above, the rule for the arithmetic sequence is :

Explanation

The given sequence follows the rule of an arithmetic sequence, where each term is obtained by adding a constant difference of 30 to the previous term. The term is represented by the formula -29+30n, where n represents the position of the term in the sequence.

Submit
14) For the sequence above, the rule for the arithmetic sequence is :

Explanation

not-available-via-ai

Submit
15) For the sequence above, the rule for the arithmetic sequence is :

Explanation

not-available-via-ai

Submit
16) For the sequence above, the rule for the arithmetic sequence is :

Explanation

not-available-via-ai

Submit
17) For the sequence above, the rule for the arithmetic sequence is :

Explanation

The given rule for the arithmetic sequence is -21+3n, where n represents the position of the term in the sequence. This means that to find any term in the sequence, we can substitute the value of n into the formula. The term will then be equal to -21 plus 3 times the position of the term in the sequence. This formula allows us to easily determine the value of any term in the sequence without having to calculate each term individually.

Submit
18) For the sequence above, the rule for the arithmetic sequence is :

Explanation

The given rule for the arithmetic sequence is -27-4n. This means that each term in the sequence can be obtained by subtracting 4n from -27, where n represents the position of the term in the sequence. For example, when n is 1, the first term is -27-4(1) = -31. When n is 2, the second term is -27-4(2) = -35. This pattern continues for each term in the sequence.

Submit
19) For the sequence above, the rule for the arithmetic sequence is :

Explanation

not-available-via-ai

Submit
20) For the sequence above, the rule for the arithmetic sequence is :

Explanation

not-available-via-ai

Submit
×
Saved
Thank you for your feedback!
View My Results
Cancel
  • All
    All (20)
  • Unanswered
    Unanswered ()
  • Answered
    Answered ()
For the sequence above, the rule for the arithmetic sequence is :
For the sequence above, the rule for the arithmetic sequence is :
For the sequence above, the rule for the arithmetic sequence is :
For the sequence above, the rule for the arithmetic sequence is :
For the sequence above, the rule for the arithmetic sequence is :
For the sequence above, the rule for the arithmetic sequence is :
For the sequence above, the rule for the arithmetic sequence is :
For the sequence above, the rule for the arithmetic sequence is :
For the sequence above, the rule for the arithmetic sequence is :
For the sequence above, the rule for the arithmetic sequence is :
For the sequence above, the rule for the arithmetic sequence is :
For the sequence above, the rule for the arithmetic sequence is :
For the sequence above, the rule for the arithmetic sequence is :
For the sequence above, the rule for the arithmetic sequence is :
For the sequence above, the rule for the arithmetic sequence is :
For the sequence above, the rule for the arithmetic sequence is :
For the sequence above, the rule for the arithmetic sequence is :
For the sequence above, the rule for the arithmetic sequence is :
For the sequence above, the rule for the arithmetic sequence is :
For the sequence above, the rule for the arithmetic sequence is :
Alert!

Advertisement