SAT I 一日一问:2013年4月26日

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The Correct answer is E.

Explanation

t exceeds s” is interpreted mathematically as the value of t minus s and is evaluated as follows:

t minus s = (1 + (s over 2)) minus s

= 1 + ((1 + (1 over 2) + (1 over 4) + (1 over 8) + (1 over 16) + (1 over 32)) over 2

minus (1 + (1 over 2) + (1 over 4) + (1 over 8) + (1 over 16) + (1 over 32))

= 1 + (1 over 2) + (1 over 4) + (1 over 8) + (1 over 16) + (1 over 32) + (1 over 64)

minus 1 minus (1 over 2) minus (1 over 4) minus (1 over 8) minus (1 over 16) minus (1 over 32)

= 1 over 64

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