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Home » These Crazy Would You Rather Questions Will Change Your Life Forever! - Appcentric

These Crazy Would You Rather Questions Will Change Your Life Forever! - Appcentric

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 Investor buys shares in next round at $2. She invests $40,000 and buys 20,000 shares.

📌 Then: $40,000 / $2 = 20,000 shares → her new ownership is proportional.

📌 But question says receives — assumes she gets new shares.

📌 Let’s restate cleanly:

📌 An investor holds shares at $3 each. In the next round, shares are offered at $2. She invests $40,000 to buy shares at $2. How many new shares does she receive?

📌 New shares = $40,000 / $2 = 20,000 shares

📌 #### 20000

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Question: Define $ L(u) = u - \frac{u^3}{3} $ for every real number $...
a_n = \sum_{k=1}^{n} L\left(\frac{k}{n}\right)
Find $ \lim_{n \to \infty} a_n $.
L(u) = u - \frac{u^3}{3}, \quad a_n = \sum_{k=1}^{n} L\left(\frac{k}{n...
\lim_{n \to \infty} a_n = \lim_{n \to \infty} \sum_{k=1}^{n} \left( \f...
This is a Riemann sum. Split the sum:
a_n = \sum_{k=1}^{n} \frac{k}{n} - \frac{1}{3} \sum_{k=1}^{n} \left( \...
= \frac{1}{n} \sum_{k=1}^{n} k - \frac{1}{3n^3} \sum_{k=1}^{n} k^3
Use formulas:
$ \sum_{k=1}^{n} k = \frac{n(n+1)}{2} $

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