Arithmetic Sequences and Series Worksheets
Find terms and sums with explicit starting indices and convergence conditions.
Before you begin
Factor polynomials, use exponent laws and solve equations with domain restrictions.
Worked example
A arithmetic sequence has a₁ = 5 and common difference 4. Find a4.
- Use aₙ = a₁ + (n − 1)d.
Answer: 17
Check your result using the method in the example before moving to the next question.
Choose your level
These sets use the same exercise types and number ranges across level labels. Choose a fresh set for additional practice.
- Easy: Start with the preview and follow the worked example.
- Medium: Practice the same exercise types with a fresh numbered set.
- Hard: Use another set to practice explaining and checking your answers.
Questions and answer calculations checked on 2026-09-17. How we check worksheets. Free for personal and classroom use.
Preview and print an easy set
Try six questions below, or choose a full set at your level.
1
A arithmetic sequence has a₁ = 3 and common difference 3. Find a6.
2
A arithmetic sequence has a₁ = 9 and common difference 2. Find the sum of its first 5 terms.
3
A arithmetic sequence has a₁ = 10 and common difference 4. Find a3.
4
A arithmetic sequence has a₁ = 8 and common difference 3. Find the sum of its first 5 terms.
5
A arithmetic sequence has a₁ = 8 and common difference 5. Find a4.
6
A arithmetic sequence has a₁ = 12 and common difference 5. Find the sum of its first 4 terms.
Answer Key
1. 182. 653. 184. 705. 236. 78