Question

Se 4 + K/2 + 1 + K/8 + 1/4 + K/32 + ... = 8 , Então K vale?

Answer 1

pg1: 4 + 1 + 1/4.... => q=1/4 ==> 1-q=3/4
s1 = a1/1-q = 4/(3/4) = 4. 4/3 = 16/3

pg2: k/2 + k/8 + k/32..=>q=1/4=>1-q=3/4
S2= a1/1-q = k/2 / 3/4 = k/2. 4/3 = 2k/3

s1 + s2 = 8
16/3 + 2k/3 = 24/3
16 + 2k = 24
2k = 8
k = 4 ✓