Geometric Sequences (Explicit & Recursive) (Algebra 2)
Free printable Algebra 2 algebra worksheet on geometric sequences: finding the nth term with aₙ = a₁ · r^(n-1), writing explicit formulas, and writing recursive formulas.
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Algebra 2 · Math worksheet
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Algebra 2: Geometric Sequences (Explicit & Recursive)
Use the explicit formula aₙ = a₁ · r^(n-1) to find terms, write an explicit formula for a sequence, or write a recursive formula.
- 1.A geometric sequence has first term a₁ = 2 and common ratio r = -2. Find the 7th term.
- 2.A geometric sequence has first term a₁ = -1 and common ratio r = 2. Find the 5th term.
- 3.A geometric sequence has first term a₁ = 1 and common ratio r = 3. Find the 4th term.
- 4.A geometric sequence has first term a₁ = -5 and common ratio r = 3. Find the 5th term.
- 5.Write an explicit formula for the nth term of the geometric sequence 1, 4, 16, 64, ...
- 6.Write an explicit formula for the nth term of the geometric sequence -4, -16, -64, -256, ...
- 7.Write an explicit formula for the nth term of the geometric sequence -1, -4, -16, -64, ...
- 8.Write a recursive formula for the geometric sequence 2, 4, 8, 16, ...
- 9.Write a recursive formula for the geometric sequence -2, -4, -8, -16, ...
- 10.Write a recursive formula for the geometric sequence 6, 18, 54, 162, ...
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