Grade 11 Sequences & Series Worksheets
Free printable sequences & series practice for Grade 11 students. Generate problems, solve them on screen or paper, and download as PDF.
What your child will practice
- AnnuitiesSolve problems involving present value and future value of annuities.
Free Practice Worksheets
Print, solve on paper, then upload a photo for instant AI grading and feedback.
Build confidence with approachable problems
Solve each problem. Take your time.
- 1.Find the 5th term of the arithmetic sequence with first term a₁ = 3 and common difference d = 4.
- 2.Find the 4th term of the geometric sequence with first term a₁ = 2 and common ratio r = 3.
- 3.Write the explicit formula for an arithmetic sequence where a₁ = 5 and d = -2.
- 4.Write the explicit formula for a geometric sequence where a₁ = 10 and r = 1/2.
- 5.Find the sum of the first 3 terms of the arithmetic series with a₁ = 1 and d = 5.
- 6.Find the sum of the first 3 terms of the geometric series with a₁ = 4 and r = 2.
Full range of grade expectations
Solve each problem. Show your work.
- 1.Find the 15th term of the arithmetic sequence with the first term a₁ = 7 and a common difference d = -3.
- 2.A geometric sequence has a first term of 5 and a common ratio of 2. What is the sum of the first 6 terms of this sequence? Provide the exact answer.
- 3.A new car costs 25,000. Its value depreciates by 15% each year. What will be the value of the car after 5 years? Round your answer to the nearest dollar.
- 4.Write the first 5 terms of the sequence defined by the recursive formula: a₁ = 4; a_n = 2 * a_(n-1) + 1 for n > 1.
- 5.Sarah deposits 100 at the end of each month into an account that earns 6% annual interest, compounded monthly. What is the future value of this annuity after 3 years?
- 6.Consider the sequence defined by the explicit formula: b_n = 3n² - 5. Calculate the difference between the 7th term and the 4th term of this sequence (b₇ - b₄).
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Create a Free AccountFrequently Asked Questions
How often should my child practice sequences & series?
Short daily practice sessions of 10-15 minutes are more effective than long weekly sessions. Consistency builds lasting understanding.
How do I know if my child is at the right level for these worksheets?
If your child can complete about 70% of the problems correctly, the level is appropriate. If it's too easy or too hard, try an adjacent grade level.
Can I use these worksheets for homeschool?
Yes. The worksheets align with standard curriculum expectations and can supplement any math program. Generate multiple worksheets to create a full practice set.