Question of the Day

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Apr
25
2015
12,354 responses
Question of the Day Statistics
Number Answered
Correct 4,526
Incorrect 7,828
36% correct

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

Answer Choices

Hint

The question asks by how much “t exceeds s,” which can be interpreted mathematically as the value of t minus s. Since s is defined and t is given in terms of s, this expression can be evaluated with one substitution to find the answer.

Question of the Day

Can you answer today's question?

Register Next Tests:
5/2 , 6/6

Apr
25
2015
12,354 responses
Question of the Day Statistics
Number Answered
Correct 4,526
Incorrect 7,828
36% correct

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

Answer Choices

Answer

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