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Home » The sum of the squares of two consecutive integers is 85. What are the integers? - Redraw

The sum of the squares of two consecutive integers is 85. What are the integers? - Redraw

📅 May 7, 2026 👤 scraface

May 07, 2026

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t = \frac{4 \pm 2}{6}
t = \frac{6}{6} = 1 \quad \text{and} \quad t = \frac{2}{6} = \frac{1}{...
Both values satisfy the equation. Thus, the values of \(t\) are:
\boxed{1 \quad \text{and} \quad \frac{1}{3}}
Question:** A sequence of neural response intensities in a human-machi...
We simplify the expression:
a_n = \frac{n^2 + 1}{n + 1}
We attempt polynomial division or rewrite the numerator:
Note that \(n^2 + 1\) does not factor nicely over integers, so perform...
a_4 = \frac{4^2 + 1}{4 + 1} = \frac{16 + 1}{5} = \frac{17}{5}

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