最新の問題
The problem asks us to determine whether the following equations are true or false: 1. $3^5 = 3 \tim...
ExponentsEvaluationComparison
2025/3/7
The problem asks to evaluate the infinite sum $\sum_{k=1}^{\infty} \frac{1}{k^3}$. This is Apéry's c...
Riemann Zeta FunctionInfinite SeriesApery's ConstantNumber Theory
2025/3/7
We need to determine the convergence or divergence of the infinite series $\sum_{k=1}^{\infty} \frac...
Infinite SeriesConvergencep-seriesRiemann Zeta Function
2025/3/7
The problem is to determine whether the series $\sum_{k=1}^{\infty} \frac{1}{k\sqrt{k}}$ converges o...
Infinite SeriesConvergencep-series
2025/3/7
The problem asks to determine the minimum rotation in degrees that will carry the given figure onto ...
Rotational SymmetryGeometric TransformationsKiteAngle Calculation
2025/3/7
The problem asks us to determine the number of degrees between potential lines of symmetry for the g...
SymmetryEquilateral TriangleAngle Calculation
2025/3/7
The problem asks to determine the minimum rotation (in degrees) that will carry a regular octagon on...
Regular PolygonsRotational SymmetryAngles
2025/3/7
数列 $\{a_n\}$ が与えられており、$a_1 = 1$、漸化式 $a_{n+1} = 2a_n - 3$ (n = 1, 2, 3, ...) を満たすとき、数列 $\{a_n\}$ の一般項...
漸化式一般項等比数列
2025/3/7
数列 $1, 2, 5, 10, 17, \dots$ の一般項 $a_n$ を求める問題です。
数列一般項階差数列等差数列
2025/3/7
問題は、数列 $3(-2)^{n-1}$ の初項から $n$ 項までの和を求めることです。
等比数列数列の和指数関数
2025/3/7