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Grade 11Common Core (CCSS) · Math: algebra

Math · Grade 11

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Arithmetic sequences · Grade 11

Name: ____________________

Worked example

  1. Each term grows by d.
  2. aₙ = a₁ + (n − 1)·d; sum = n·(a₁ + aₙ)/2.
  3. Example: a₁ = 3, d = 4 gives a₁₀ = 3 + 9·4 = 39.
Example: how to solve it
1.

Find the term: a₁ = 2, d = 3. a₅ = ?

2.

The plan counts pages per day. The first amount is a₁ and the increase is d. Find the term: a₁ = 28, d = 2. a₆ = ? Answer with the correct unit.

3.

Find the term: a₁ = -6, d = 5. a₅ = ?

4.

The plan counts plants per row. The first amount is a₁ and the increase is d. Find the term: a₁ = 29, d = 3. a₉ = ? Answer with the correct unit.

5.

Find the term: a₁ = 3, d = 4. a₁₀ = ?

6.

The plan counts minutes per week. The first amount is a₁ and the increase is d. Find the term: a₁ = 18, d = 4. a₈ = ? Answer with the correct unit.

7.

Find the term: a₁ = 15, d = 2. a₇ = ?

8.

The plan counts seats per row. The first amount is a₁ and the increase is d. Find the term: a₁ = 16, d = 2. a₁₀ = ? Answer with the correct unit.

9.

Find the term: a₁ = 5, d = 2. a₁₀ = ?

10.

The plan counts minutes per week. The first amount is a₁ and the increase is d. Find the term: a₁ = 26, d = 5. a₁₂ = ? Answer with the correct unit.

11.

Find the term: a₁ = -6, d = 3. a₆ = ?

12.

The plan counts pages per day. The first amount is a₁ and the increase is d. Find the term: a₁ = 25, d = 3. a₉ = ? Answer with the correct unit.

13.

Find the term: a₁ = 10, d = 2. a₈ = ?

14.

The plan counts seats per row. The first amount is a₁ and the increase is d. Find the term: a₁ = 19, d = 4. a₁₁ = ? Answer with the correct unit.

15.

Find the term: a₁ = -3, d = 5. a₅ = ?

16.

The plan counts plants per row. The first amount is a₁ and the increase is d. Find the term: a₁ = 21, d = 3. a₁₂ = ? Answer with the correct unit.

17.

Find the term: a₁ = 19, d = 3. a₈ = ?

18.

The plan counts minutes per week. The first amount is a₁ and the increase is d. Find the term: a₁ = 29, d = 5. a₉ = ? Answer with the correct unit.

19.

Find the term: a₁ = 16, d = 2. a₁₁ = ?

20.

The plan counts pages per day. The first amount is a₁ and the increase is d. Find the term: a₁ = 27, d = 4. a₇ = ? Answer with the correct unit.

Answer key

  1. 1. 14
  2. 2. 38 pages
  3. 3. 14
  4. 4. 53 plants
  5. 5. 39
  6. 6. 46 min
  7. 7. 27
  8. 8. 34 seats
  9. 9. 23
  10. 10. 81 min
  11. 11. 9
  12. 12. 49 pages
  13. 13. 24
  14. 14. 59 seats
  15. 15. 17
  16. 16. 54 plants
  17. 17. 40
  18. 18. 69 min
  19. 19. 36
  20. 20. 51 pages

Created with WorksheetMint

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Area
Algebra
Exercise type
Arithmetic sequences
Grade
11 (ages 16–17)
Difficulty
Easy
Number of tasks
20
Task format
Mixed
Paper size
US Letter
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Area
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Practise aₙ = a₁ + (n − 1)d and arithmetic series.

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Hard mixes in sums with negative common differences. The answer key is calculated by the website. No sign-up needed.

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