Arithmetic Sequences (Explicit & Recursive) (Algebra 2)
Free printable Algebra 2 algebra worksheet on arithmetic sequences: finding the nth term with aₙ = a₁ + (n - 1)d, writing explicit formulas, and writing recursive formulas.
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Algebra 2 · Math worksheet
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Algebra 2: Arithmetic Sequences (Explicit & Recursive)
Use the explicit formula aₙ = a₁ + (n - 1)d to find terms, write an explicit formula for a sequence, or write a recursive formula.
- 1.An arithmetic sequence has first term a₁ = 2 and common difference d = -7. Find the 10th term.
- 2.An arithmetic sequence has first term a₁ = 10 and common difference d = -7. Find the 16th term.
- 3.An arithmetic sequence has first term a₁ = 2 and common difference d = 6. Find the 20th term.
- 4.An arithmetic sequence has first term a₁ = 9 and common difference d = -7. Find the 20th term.
- 5.Write an explicit formula for the nth term of the arithmetic sequence 7, 13, 19, 25, ...
- 6.Write an explicit formula for the nth term of the arithmetic sequence 1, 8, 15, 22, ...
- 7.Write an explicit formula for the nth term of the arithmetic sequence 7, 2, -3, -8, ...
- 8.Write a recursive formula for the arithmetic sequence 2, 10, 18, 26, ...
- 9.Write a recursive formula for the arithmetic sequence 7, 2, -3, -8, ...
- 10.Write a recursive formula for the arithmetic sequence 2, -3, -8, -13, ...
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