Number Properties Puzzle – Challenge 2
Number Properties Puzzle - Challenge 2 is a multiple-choice math challenge from Effortless Math. Read the problem, choose from the answer options below, then open the solution to see the full step-by-step working and check your reasoning against it.
This is another great math challenge for those of any age who love mathematics and math puzzles.
Challenge:
((1+frac{1}{2}) × (1+frac{1}{3} ) × (1+ frac{1}{4}) × (1+frac{1}{5} ) ×) … (× (1+ frac{1}{2015}) = ?)
A- (frac{2015}{2014})
B- (frac{2016}{1001})
C- (1008)
D- (2015)
E- (2016)
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The correct answer is C.
Write the numbers in fraction form and simplify:
((frac{3}{2}) × (frac{4}{3}) × (frac{5}{4}) × (frac{6}{5}) ×) … (× (frac{2016}{2015}) = frac{3×4×5×6×… ×2016}{2×3×4×5×6×… ×2015}= (frac{2016}{2}) = 1008)
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