Problem |
Solution |
1) In the diagram the sum 1/3 + 1/6 + 1/12 + 1/24 + 1/48 + 1/96
represents the area of the shaded sections. If the area of the entire rectangle is 1, what is the sum of the areas of the two unshaded regions?
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- The large unshaded region is equal to the first shaded region = ______
- That makes the sum of the shaded regions and the little unshaded square _____ of the whole figure.
- Convert all the fractions to 96ths and add:
= _____
- So the area of the little unshaded region is:
__________
- The sum of the unshaded regions =
________
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2) For a baseball team, the ratio of the team's wins to its losses is 3:2. If the team continues at this pace, how many games will it win out of 110 games?
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- The ratio 3:2 makes the win fraction ______ because the ratio divides the number of games into fifths (3+2).
- Number of wins = _______
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3) In the sequence below, what is the value of the 20th term?
  1  
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1
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2
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1 - 2
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3
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1 - 2 + 3
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4
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1 - 2 + 3 - 4
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- Another column has been added to the table to the left to do the sums indicated. Fill in that column.
- You should see a pattern here. Using n as the term number, each even term = ____________
- Therefore the 20th term is _______
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