Diketahui 1/16 + 1/8 + 1/4+....+16=x.nilai x adalah
Matematika
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Pertanyaan
Diketahui 1/16 + 1/8 + 1/4+....+16=x.nilai x adalah
1 Jawaban
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1. Jawaban nurrafi77
a = 1/16
U2 = a r
1/8 = (1/16) r
r = 1/8 x 16
= 2
Un = a rⁿ⁻¹
16 = (1/16) (2)ⁿ⁻¹
16 x 16 = 2ⁿ-¹
2⁸ = 2ⁿ⁻¹
n - 1 = 8
n = 8 + 1
= 9
Sn = a (rⁿ - 1) / r - 1
S9 = 1/16 (2⁹ - 1) / 2 - 1
= 1/16 (511)
= 31,9
S9 = x = 31,9