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Best answer

x = 1 + 21/6  + 22/6 + 23/6 + 24/6 + 25/6

Clearly, This is a Geometric Progression with 

Common Difference (r) = 21/6

First Term (a) = 1

Number Of Terms (n) = 6

And since we know the formula for the sum of GP, which is:

S= a(rn-1)/r-1

S = ((21/6)6 - 1)/21/6-1

S(x) = 1/21/6-1

Now, We have to find,

(1+1/x)30 or (1 + 21/6 -1)30

(21/6)30

= 25 

=32

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