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Mathematics > Standard Multiple Choice

Read the following SAT test question and then click on a button to select your answer. 

If s equals 1 plus (1 over 2) plus (1 over 4) plus (1 over 8) plus (1 over 16) plus (1 over 32) and t equals1 plus (1 over 2) times s, then t exceeds s by

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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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