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Home » \(\sqrt289 = 17\), and \(17 \times 17 = 289\). - go-checkin.com

\(\sqrt289 = 17\), and \(17 \times 17 = 289\). - go-checkin.com

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Mar 01, 2026

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f(u) = u - \frac{u^5}{5} < u,
so the sequence \( \{b_n\} \) is strictly decreasing as long as \( b_n...
Step 2: Compute initial terms numerically
We compute successive values:
\( b_2 = 1 - \frac{1^5}{5} = 1 - 0.2 = 0.8 \)
\( b_3 = 0.8 - \frac{(0.8)^5}{5} = 0.8 - \frac{0.32768}{5} = 0.8 - 0.0...
\( b_4 = 0.734464 - \frac{(0.734464)^5}{5} \)
Estimate \( (0.734464)^2 \approx 0.5394 \),
\( (0.734464)^4 \approx (0.5394)^2 \approx 0.2911 \),
\( (0.734464)^5 \approx 0.2911

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