1 / 36

Barisan dan Deret Geometri

Barisan dan Deret Geometri. By: Jeffrey Bivin Lake Zurich High School jeff.bivin@lz95.org B. Last Updated: October 11, 2005. Barisan Geometri. 1, 2, 4, 8, 16, 32, … 2 n-1 , … 3, 9, 27, 81, 243, … 3 n , . . . 81, 54, 36, 24, 16, … ,. Jeff Bivin -- LZHS.

leoma
Download Presentation

Barisan dan Deret Geometri

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. Barisan dan DeretGeometri By: Jeffrey Bivin Lake Zurich High School jeff.bivin@lz95.orgB Last Updated: October 11, 2005

  2. Barisan Geometri 1, 2, 4, 8, 16, 32, … 2n-1, … 3, 9, 27, 81, 243, … 3n, . . . 81, 54, 36, 24, 16, … , . . . Jeff Bivin -- LZHS

  3. Barisan Geometri Suku Ke-n Un = a·r(n-1) Jeff Bivin -- LZHS

  4. Menentukan Rumus Barisan Geometri Suku Pertama 2 Rasio 3 un = a·r(n-1) un = 2(3)(n-1) Jeff Bivin -- LZHS

  5. Tentukan rumus barisan geometri Un Suku Pertama 128 Rasio (1/2) Un = a·r(n-1) Jeff Bivin -- LZHS

  6. Tentukan rumus barisan geometri suku ke- n atau Un Suku pertama 64 Rasio (3/2) Un = a·r(n-1) Jeff Bivin -- LZHS

  7. Menentukan Nilai Suku Ke-10 a = 3 r = 2 n = 10 3, 6, 12, 24, 48, . . . Un = a·r(n-1) U10 = 3·(2)10-1 U10 = 3·(2)9 U10 = 3·(512) U10 = 1536 Jeff Bivin -- LZHS

  8. Menentukan Suku Ke-8 a= 2 r = -5 n = 8 2, -10, 50, -250, 1250, . . . Un = a·r(n-1) Un = 2·(-5)8-1 Un = 2·(-5)7 Un = 2·(-78125) Un = -156250 Jeff Bivin -- LZHS

  9. Menjumlahkan Deret Geometri Jeff Bivin -- LZHS

  10. 1 + 3 + 9 + 27 + 81 + 243 a = 1 r = 3 n = 6 Jeff Bivin -- LZHS

  11. 4 - 8 + 16 - 32 + 64 – 128 + 256 a = 4 r = -2 n = 7 Jeff Bivin -- LZHS

  12. Alternative Sum Formula Kita tahu bahwa: Dikalikan r: Sederhanakan: Substitusikan: Jeff Bivin -- LZHS

  13. Tentukan jumlah barisan geometri Jeff Bivin -- LZHS

  14. Hitunglah = 2 + 4 + 8+…+1024 a = 2 r = 2 n = 10 Un = 1024 Jeff Bivin -- LZHS

  15. Hitunglah = 3 + 6 + 12 +…+ 384 a = 3 r = 2 n = 8 Un = 384 Jeff Bivin -- LZHS

  16. Rangkuman -- Geometri Jumlah Suku-n Rumus Suku-n Un = a·r(n-1) Jeff Bivin -- LZHS

  17. Deret Geometri Tak Hingga Jeff Bivin -- LZHS

  18. The Magic Flea(magnified for easier viewing) There is no flea like a Magic Flea Jeff Bivin -- LZHS

  19. The Magic Flea(magnified for easier viewing) Jeff Bivin -- LZHS

  20. Jumlah Deret Geometri Tak Hingga Jeff Bivin -- LZHS

  21. Ingat --The Magic Flea Jeff Bivin -- LZHS

  22. Jeff Bivin -- LZHS

  23. A Bouncing Ball rebounds ½ of the distance from which it fell -- What is the total vertical distance that the ball traveled before coming to rest if it fell from the top of a 128 feet tall building? 128 ft 64 ft 32 ft 16 ft 8 ft Jeff Bivin -- LZHS

  24. A Bouncing Ball Lintasan Turun = 128 + 64 + 32 + 16 + 8 + … 128 ft 64 ft 32 ft 16 ft 8 ft Jeff Bivin -- LZHS

  25. A Bouncing Ball Lintasan Naik = 64 + 32 + 16 + 8 + … 128 ft 64 ft 32 ft 16 ft 8 ft Jeff Bivin -- LZHS

  26. A Bouncing Ball L Turun = 128 + 64 + 32 + 16 + 8 + … = 256 L Naik = 64 + 32 + 16 + 8 + … = 128 TOTAL = 384 ft. 128 ft 64 ft 32 ft 16 ft 8 ft Jeff Bivin -- LZHS

  27. A Bouncing Ball rebounds 3/5 of the distance from which it fell -- What is the total vertical distance that the ball traveled before coming to rest if it fell from the top of a 625 feet tall building? 625 ft 375 ft 225 ft 135 ft 81 ft Jeff Bivin -- LZHS

  28. A Bouncing Ball L Turun = 625 + 375 + 225 + 135 + 81 + … 625 ft 375 ft 225 ft 135 ft 81 ft Jeff Bivin -- LZHS

  29. A Bouncing Ball L Naik = 375 + 225 + 135 + 81 + … 625 ft 375 ft 225 ft 135 ft 81 ft Jeff Bivin -- LZHS

  30. A Bouncing Ball L Turun = 625 + 375 + 225 + 135 + 81 + … = 1562.5 L Naik = 375 + 225 + 135 + 81 + … = 937.5 TOTAL = 2500 ft. 625 ft 375 ft 225 ft 135 ft 81 ft Jeff Bivin -- LZHS

  31. Menentukan jumlah tak hingga Jeff Bivin -- LZHS

  32. Pecahan – Desimal Tak hingga Jeff Bivin -- LZHS

  33. Mari kita coba kembali + + Jeff Bivin -- LZHS

  34. Keunikan subtract Jeff Bivin -- LZHS

  35. OK now a series Jeff Bivin -- LZHS

  36. .9 = 1 .9 = 1 That’s All Folks Jeff Bivin -- LZHS

More Related