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8.6 – Geometric Series

8.6 – Geometric Series. Geometric Series. A series whose terms are in geometric progression such as: 3 + 6 + 12+ 24 Is called a . Geometric series. Geometric Series Theorem.

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8.6 – Geometric Series

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  1. 8.6 – Geometric Series

  2. Geometric Series A series whose terms are in geometric progression such as: 3 + 6 + 12+ 24 Is called a . Geometric series

  3. Geometric Series Theorem If Sn is the sum of the first n terms of a geometric sequence whose first term is a1, whose common ratio is r, and whose nth term is an, then:

  4. Find the sum of the first six terms of the geometric sequence • 7, -14, 28, …….. • 4, 12, 36, ……..

  5. Find the sum of a geometric series whose first term is 3, whose last (nth) term is 9375, and whose common ratio is 5. 3.

  6. Find the sum Sn of each of the following geometric series • a1 = 2, r = 4, n = 6 • a1 = 1, r = -3, n = 5 • a1 = 3125, r = 1/5, n = 5

  7. Use the given data about a geometric series to find the specified value. • a1 = 4, r = 3, Sn = 484, n = ____ • r = -0.5, S6 = 126, a6 = ______

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