1/2+1/4+1/8+1/16....... S6?

[tex] \frac{1}{2} + \frac{1}{4} + \frac{1}{8} + \frac{1}{16} + .... \\ S_6 = \frac{ \frac{1}{2} (1 - \frac{1}{2} )^{5} }{1 - \frac{1}{2} } = \frac{ \frac{1}{2} \times { \frac{1}{2} }^{5} }{ \frac{1}{2} } = \frac{1}{32} [/tex]

1/2 + 1/4 + 1/8 + 1/16....S6

1¹ <==== 1/2 ====> 2¹
1¹ <==== 1/4 ====> 2²
1¹ <==== 1/8 ====> 2³
1¹ <==== 1/16 ====> 2⁴
berarti
1¹ <==== 1/32 ====> 2^5
1¹ <==== 1/64 ====> 2^6

Jadi,
S6 = 1/64