Number Properties Puzzle – Challenge 2

This is another great math challenge for those of any age who love mathematics and math puzzles.

Number Properties Puzzle – Challenge 2

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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Math and Critical Thinking Challenges: For the Middle and High School Student