1 / 7

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.

jon
Télécharger la présentation

8.6 – Geometric Series

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  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 = ______

More Related