Janjang Geometri

The first three terms of a geometric progression are k-1, k+2, k+8. Find the value of k.

Tiga sebutan pertama bagi janjang geometri ialah k-1, k+2, k+8. Cari nilai k.

• 6

• 4

• 3

• 5

Tags

CCSS.HSF.BF.A.2

The nth term of a geometric progression is given by T_n=3^3n-2. Find

Sebutan ke-n bagi suatu janjang geometri diberi oleh T_n=3^3n-2. Cari

a) the first term / sebutan pertama

b) the common ratio / nisbah sepunya

• a) 3 , b) 81

• a) 81, b) 3

• a) 3 , b) 27

• a) 27, b) 3

Tags

CCSS.HSF.BF.A.2

The third term and sixth term of a geometric progression are 108 and 2916 respectively. Find the first term and the common ration.

Sebutan ketiga dan keenam suatu janjang geometri masing-masing ialah 108 dan 2916. Cari sebutan pertama dan nisbah sepunya.

• first term / sebutan pertama = 12,

  common ration / nisbah sepunya = 3

• first term / sebutan pertama = - 16

  common ratio / nisbah sepunya = 906

• first term / sebutan pertama = 3,

  common ration / nisbah sepunya = 12

• first term / sebutan pertama = 906

  common ratio / nisbah sepunya = -16

Tags

CCSS.HSF.BF.A.2

Given a geometric progression 1458, 486, 162, 54, ... find the sum from fifth term to eighth term.

Diberi suatu janjang geometri 1458, 486, 162, 54, ... cari hasil tambah dari sebutan kelima hingga sebutan kelapan

• 80/3

• 2160

• 1/3

• 6560/3

Tags

CCSS.HSA.SSE.B.4

The sum of the first n terms of a geometric progression is given by S_n=4^n-1. Find

Hasil tambah bagi n sebutan pertama suatu janjang geometri diberi oleh S_n=4^n-1. Cari

a) the first term / sebutan pertama

b) the common ration / nisbah sepunya

• a) 3, b) 4

• a) 4, b) 3

• a) 3, b) 1

• a) 1, b) 3

Tags

CCSS.HSA.SSE.B.4

Given a geometric progression 2, 6, 18, 54 ... find the smallest value of n such that the sum of the first n terms is greater than 6000.

Diberi suatu janjang geometri 2,6,18, 54, ... cari nilai terkecil bagi n jika hasil tambah n sebutan pertama lebih besar dari 6000.

• n = 7

• n = 8

• n > 7

• n < 7

Tags

CCSS.HSA.SSE.B.4