Using the nth Term Rule to Solve Problems (Year 8)
Free printable UK Year 8 (Key Stage 3) maths worksheet: use the nth term rule to check if a number is a term, find a term number, or model a real-world linear pattern.
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Grade 7 · Math worksheet
Name
Date
Math
Using the nth Term Rule to Solve Problems
Use the nth term rule to check whether a number is a term, find a term number, or model a real-world linear pattern.
- 1.The nth term of a sequence is 7n - 13. Is 49 a term in the sequence?
- 2.The nth term of a sequence is 3n + 4. Is 66 a term in the sequence?
- 3.The nth term of a sequence is 9n + 8. Is 69 a term in the sequence?
- 4.The nth term of a sequence is 9n - 15. Is 56 a term in the sequence?
- 5.The nth term of a sequence is 9n + 6. Is 152 a term in the sequence?
- 6.The nth term of a sequence is 3n - 14. Is 34 a term in the sequence?
- 7.The nth term of a sequence is 6n - 3. Which term of the sequence has the value 21?
- 8.The nth term of a sequence is -3n + 7. Which term of the sequence has the value -5?
- 9.The nth term of a sequence is 4n - 15. Which term of the sequence has the value 29?
- 10.The nth term of a sequence is 4n + 6. Which term of the sequence has the value 14?
- 11.The nth term of a sequence is -9n - 4. Which term of the sequence has the value -175?
- 12.The nth term of a sequence is 3n + 14. Which term of the sequence has the value 53?
- 13.A gym membership costs a one-off joining fee of £25 plus £15 per month. Write an expression for the total cost after n months, then find the total cost after 11 months.
- 14.A gym membership costs a one-off joining fee of £5 plus £7 per month. Write an expression for the total cost after n months, then find the total cost after 12 months.
- 15.A growing pattern is made from matchsticks. Pattern 1 uses 10 matchsticks, Pattern 2 uses 16, and Pattern 3 uses 22. How many matchsticks does Pattern 11 use?
- 16.A growing pattern is made from matchsticks. Pattern 1 uses 6 matchsticks, Pattern 2 uses 12, and Pattern 3 uses 18. How many matchsticks does Pattern 10 use?
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