PG ..HELP ME...........Xx.XxXxXX

calculate the value of x knowing that x = 1/2 + 1/2 ^ 2 + 1/2 ^ 3 + 1/2 ^ 4 + 1/2 ^ 5

x = 1/2 + 1/2 ^ 2 + 1/2 ^ 3 + 1/2 ^ 4 + 1/2 ^ 5
x = 1/2 + 1/4 + 1/8 + 1/16 + 1/32
x = 16/32 + 8/32 + 4/32 + 2/32 + 1/32
x = 31/32

Did you leave off a 1 in the front? that is
x = 1 + 1/2 + 1/2 ^ 2 + 1/2 ^ 3 + 1/2 ^ 4 + 1/2 ^ 5 ??

then the answer is 63/32

A BETTER ANSWER
a1 = 1 q = 1/2 n = 6
S6 = [1 * (1/2^6 -1) ] / 1/2 - 1 => S6 = (1/64 - 1) / 1/2 - 1 => S6 = [(1 - 64) / 64 ] / [ (1 - 2)/2 ]
S6 = - 63 / 64 / -1 / 2 => 63 / 64 * 2 / 1 => S6 = 126 / 64 => S6 = 63 / 32

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Sn = [a1 * (q^n - 1) ] / q - 1

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Well solving for the exponents and putting it into decimal points instead of fractions we get
.5+.25+.125+.0625+.03125=0.96875

rounding to the nearest hundredth we get 0.97 or 97/100