Write Rules for Decreasing Sequences
Written by Adi Ackerman, Head Teacher
"Write Rules for Decreasing Sequences" is written for 7th Grade (Ages 12-13). A 6th grader who is already steady on algebra can use it too, and an older student can use it as a short review.
7th grade math worksheet: write nth term rules for 12 decreasing sequences, such as 74, 60, 46, 32 and 127, 116, 105, 94. Answer key included. Part of our sequence expressions algebra collection.
How do I use this worksheet?
Begin with Evaluate Sequence Expressions and Find Terms From a Rule, then move to Find the Term Number. Assign the rule writing sheets next, and use the riddle and the matching sheet as quick self-checks.
What students will practice
- Students will find the amount a sequence counts down by.
- Students will find the number that makes n = 1 give the first term.
- Students will write 12 rules as a number minus a multiple of n.
Curriculum Links
Find this in the curriculum
Browse the grade, subject, and topic this belongs to.
FAQ
How do I use this sequence expressions worksheet?
⌄
Begin with Evaluate Sequence Expressions and Find Terms From a Rule, then move to Find the Term Number. Assign the rule writing sheets next, and use the riddle and the matching sheet as quick self-checks.
What does this worksheet teach?
⌄
Write nth term rules for 12 decreasing sequences, such as 74, 60, 46, 32 and 127, 116, 105, 94. The directions on the page read: Each sequence counts down by the same amount. To complete its rule, first write the number that makes n = 1 give the first term, then the amount it counts down by in front of n. The page opens with a worked example, and an answer key is included.
Can I use this sequence expressions worksheet for homeschool or classroom?
⌄
Yes, both. We made it for 7th grade algebra, and it works the same at home or at school. At home, a student can work through it alone and then go over it with you, which shows quickly what is solid and what needs another look. In class it works as independent practice, homework or a warm-up, and you can print one copy or a full set.
How do you find a term from an nth term rule?
⌄
Replace n with the term number, then multiply before you add or subtract. For the rule 3n + 5, the 7th term is 3 times 7 plus 5, which is 26. Evaluate Sequence Expressions gives 14 rules to practice.
How do you write the nth term of an arithmetic sequence?
⌄
Multiply n by the common difference, then add or subtract the number that makes n = 1 give the first term. For 6, 11, 16, 21 the difference is 5 and 6 minus 5 is 1, so the rule is 5n + 1. Write a Rule for the Sequence uses this method.
How do you write a rule for a sequence that counts down?
⌄
Write a number minus a multiple of n. For 50, 44, 38, 32 the sequence counts down by 6, and 50 + 6 is 56, so the rule is 56 minus 6n. Write Rules for Decreasing Sequences practices this with 12 sequences.
How do you find which term has a given value?
⌄
Set the rule equal to the value and solve for n. For 4n + 9 = 61, subtract 9 to get 52 and divide by 4 to get n = 13. Find the Term Number has 8 problems like this.
Ratings & Reviews
No reviews yet. Be the first to share what you think.
Reviews are for ClassWeekly members.
Make a Request
Spotted something to fix, or want a worksheet we don't have yet? Tell us and we'll make it.
What is ClassWeekly?
ClassWeekly offers free worksheets and printable learning resources for kids, from preschool up. All worksheets are aligned to Common Core, NGSS, and C3 Framework standards and designed by educators. Become a member to access the full library and download unlimited PDFs.