TMUA Practice Question — Worked Solution

P1·Algebra & Surds·5.0Mock 0 · P1 · Q6

surdsrationalising the denominatortelescoping sumfence-poststrict inequality

For each positive integer

n

, let

S_{n} = \frac{1}{1 + 2} + \frac{1}{2 + 3} + \frac{1}{3 + 4} + \dots + \frac{1}{n + n + 1}

What is the smallest value of

n

for which

S_{n} > 10

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