Geometric Series (Finite & Infinite) (Algebra 2)
Free printable Algebra 2 algebra worksheet on geometric series: finite sums with Sₙ = a(1 - rⁿ)/(1 - r), and convergent infinite sums S = a/(1 - r) when |r| < 1.
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Algebra 2 · Math worksheet
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Algebra 2: Geometric Series (Finite & Infinite)
Find each finite sum with Sₙ = a(1 - rⁿ)/(1 - r). For an infinite series, first check |r| < 1 (it converges), then use S = a/(1 - r).
- 1.Find the sum of the finite geometric series 2 - 4 + 8 - 16 (first term a = 2, common ratio r = -2, 4 terms).
- 2.Find the sum of the finite geometric series -2 + 4 - 8 + 16 - 32 + 64 - 128 (first term a = -2, common ratio r = -2, 7 terms).
- 3.Find the sum of the finite geometric series 5 - 10 + 20 - 40 + 80 - 160 + 320 (first term a = 5, common ratio r = -2, 7 terms).
- 4.Find the sum of the finite geometric series 2 - 4 + 8 - 16 + 32 - 64 + 128 (first term a = 2, common ratio r = -2, 7 terms).
- 5.Find the sum of the finite geometric series -5 - 15 - 45 - 135 (first term a = -5, common ratio r = 3, 4 terms).
- 6.Find the sum of the finite geometric series -3 + 6 - 12 + 24 (first term a = -3, common ratio r = -2, 4 terms).
- 7.Find the sum of the infinite geometric series with first term a = 4 and common ratio r = 12.
- 8.Find the sum of the infinite geometric series with first term a = 4 and common ratio r = 15.
- 9.Find the sum of the infinite geometric series with first term a = 3 and common ratio r = 34.
- 10.Find the sum of the infinite geometric series with first term a = 4 and common ratio r = 34.
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