1 / 14

barisan dan geometri

barisan dan geometri

rizalfarabi
Download Presentation

barisan dan 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 DERET GEOMETRI

  2. BARISAN GEOMETRI

  3. BARISAN GEOMETRI BarisanGeometri adalahsusunanbilangan yang dibentukmenuruturutantertentu, dimanasusunanbilangandiantaraduasuku yang berurutanmempunyairasio yang tetap. (dilambangkandenganhuruf r).

  4. BARISAN GEOMETRI Jika a1adalahsukupertamadan r adalahrasio yang tetap, makasukuke 2 danseterusnyaadalah a2 = a1r a3 = a2r = a1r2 a4 = a3r = a1r3 . . an = an-1r = a1rn-1

  5. lanjutan Sehinggabentukumumdaribarisangeometriuntuksukuke-n adalah Di manaUn = sukuke – n a = sukupertama r = rasio yang tetap n = banyaknyasuku Un = arn-1

  6. Contoh 1 Carilahsukuke - 5daribarisangeometridimanasukupertamaadalah4danrasionyaadalah 2 Jawab: Diketahui : a1 = 4 , r = 2, n=5 Ditanyakan U5 = …? U5 = a1r5-1= a1r4 = 4(2)4 = 4 x 16=64

  7. Contoh 2 Carilahsukuke - 5daribarisangeometridimanasuku2adalah8&suku ke 4 adalah32 Jawab: Diketahui : a2 = 8 , a4 = 32 n=5 Ditanyakan U5 = …?

  8. DERET GEOMETRI

  9. DERET GEOMETRI DERET GEOMETRI adalah jumlah suku-suku atau bilangan – bilangan dalam suatu barisan geometri Bentuk deret geometri adalah :

  10. Rumus deret geometri • Jika r < 1 • Jika r > 1

  11. Contoh 1 Carilah jumlah5 suku yang pertamadaribarisangeometridimanasukupertamaadalah4danrasionyaadalah 2 Jawab: Diketahui : a1 = 4 , r = 2, n=5 DitanyakanS5 = …?

  12. Soal-soal 1.Carilahjumlahdari 6 sukupertamapadasetiapbarisanberikutini: • 2, 10,50, 250, … c. 6, 3, … • 3, 9, 27, 81 d. 16,8, 4, 2, …

  13. Soal-soal 2. Carilahenamsukupertamadaribarisangeometriberikut • a = 2; r =1/2 d. a = 6; r = -1/2 • a = 12; r =1/3 e. a = 4; r =1/3 • a = 10 ; r = 1/4

  14. TERIMA KASIH

More Related