Simplification · Question 4 · Easy
Find the value of 1/(1×2) + 1/(2×3) + 1/(3×4) + ... + 1/(9×10).
- 1
- 10/11
- 9/10
- 8/9
Answer and explanation
Answer: C. 9/10
Explanation: Each term 1/(k(k+1)) = 1/k − 1/(k+1), so the sum telescopes to 1 − 1/10 = 9/10.
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