Question

Find the sum of the geometric sequence. 1, 1/2,1/4,1/8,1/16

Answer 1

31/16

or

1 15/16

Explanation:

1/8 = 2/16

1/4 = 4/16

1/2 = 8/16

1 = 16/16

then:

1 + 1/2 + 1/4 + 1/8 + 1/16

= 16/16 + 8/16 + 4/16 + 2/16 + 1/16

=(16+8+4+2+1)/16

= 31/16

31/16 = 16/16 + 15/16 = 1 + 15/16 = 1 15/16