Find the first six partial sums S1, S2, S3, S4, S5, S6 of the sequence.


1/2, 1/2^2, 1/2^3, 1/2^4'...

1 answer

an = ( 1 / 2 ) ^ n

a1 = 1 / 2

a2 = 1 / 2 ^ 2 = 1 / 4

a3 = 1 / 2 ^ 3 = 1 / 8

a4 = 1 / 2 ^ 4 = 1 / 16

a5 = 1 / 2 ^ 5 = 1 / 32

a6 = 1 / 2 ^ 6 = 1 / 64

1 / 2 + 1 / 4 + 1 / 8 + 1 / 16 + 1 / 32 + 1 / 64 = 63 / 64