hitunglah jumlah deret geometri tak hingga berikut 1. 8 + 4 + 2 +... 2. 5 + √5 + 1 +... 3. √3 - 1 + ⅓√3 +... 4. 36 + 4 + 4/9 +...
Matematika
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Pertanyaan
hitunglah jumlah deret geometri tak hingga berikut
1. 8 + 4 + 2 +...
2. 5 + √5 + 1 +...
3. √3 - 1 + ⅓√3 +...
4. 36 + 4 + 4/9 +...
1. 8 + 4 + 2 +...
2. 5 + √5 + 1 +...
3. √3 - 1 + ⅓√3 +...
4. 36 + 4 + 4/9 +...
2 Jawaban
-
1. Jawaban subebe
1. a = 8
r = 4/8 = 1/2
S = 8 / (1-1/2)
S = 16
2. a = 5
r = √5/5 = 1/√5
S = 5 / (1-1/√5)
= 5 / (√5-1)/√5
= 5√5 /(√5 -1)
3. a = √3
r = 1/√3
S = √3 / (1-1/√3)
= √3 / (√3 - 1)/√3
= 3 / (√3-1)
4. a = 36
r = 4/36 = 1/9
S = 36/(1 - 1/9)
= 36 / (8/9)
= 40,5 -
2. Jawaban bila21
1. 8 / (per) 1 - 4/8
8 / 1 - 1/2
8 x 2 / 1 = 16
4. 36 / (per) 1 - 4/36
36 / 1 - 1 / 9
36 / 8 / 9
= 36 x 9/ 8
= 81 / 2
2 dan 3 ga tau