5/16 + 5/8 + 5/4 + 5/2 + 5 + ... + 160 ubahlah kebentuk notasi sigma?
Matematika
teamo999
Pertanyaan
5/16 + 5/8 + 5/4 + 5/2 + 5 + ... + 160 ubahlah kebentuk notasi sigma?
1 Jawaban
-
1. Jawaban Anonyme
5/16 + 5/8 + 5/4 + ... + 160
= 5 (1/16 + 1/8 + 1/4 + ... + 32)
1/16 + 1/8 + 1/4 + ... + 32
a = 1/16
r = U2/a = 1/8 × 16 = 2
Un = ar^(n - 1)
Un = (1/16)(2^(n - 1)
Un = 2^(n - 5)
32 = 2^(n - 5)
2^5 = 2^(n - 5)
n = 10
Bentuk notasi sigma
10
∑ 5(1/16 + 1/8 + ... + 32)
k = 1
=
10
∑5(2^(n - 5))
n = 1