Practice mode Simplification

What is the value of (1 − 1/3)(1 − 1/4)(1 − 1/5) … (1 − 1/20)?

Correct answer D. 1/10

Explanation

The product is 2/3 × 3/4 × 4/5 × ... × 19/20. Every middle term cancels, leaving 2/20 = 1/10.

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