Sequence Rules With Whole Numbers
Written by Adi Ackerman, Head Teacher
"Sequence Rules With Whole Numbers" 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: evaluate 12 rules in context, such as a gym at 15n + 20 dollars and a candle at 50 minus 2n cm. 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 read what n stands for in a short situation.
- Students will put a number in for n to find a cost, height or amount.
- Students will write each of 12 answers with its unit.
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FAQ
How do I use this sequence expressions worksheet?
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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?
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Evaluate 12 rules in context, such as a gym at 15n + 20 dollars and a candle at 50 minus 2n cm. The directions on the page read: Put the number in for n in each rule. Write the answer with its unit. The page opens with a worked example, and an answer key is included.
Can I use this sequence expressions worksheet for homeschool or classroom?
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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?
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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?
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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?
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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?
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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.
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