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15
Math.TechQA.Club
2026-05-05 00:08:45
66
Views
prove; The sum of part of the numbers $1,2,...,n$, can be the average of the remaining numbers iff $n+1$ is a square.
Published on
05 May 2026 - 0:08
#sequences-and-series
#number-theory
219
Views
Proof that certain sums of complex numbers (in a unitary matrix) produce the same constant magnitudes
Published on
17 Apr 2026 - 9:44
#linear-algebra
#sequences-and-series
#matrices
#complex-analysis
#summation
557
Views
Finding limit point of recursively defined sequence $a_{n+1}=\sqrt{2+a_n}$.
Published on
15 Apr 2026 - 11:32
#calculus
#sequences-and-series
72
Views
Find the index of the largest element in a sequence $x_n = (\alpha + \beta)^{-n} \sum_{k=0}^nc^{n-k}\beta^kx_{n-k}x_k$.
Published on
17 Apr 2026 - 10:31
#sequences-and-series
#algebra-precalculus
#maxima-minima
71
Views
Check proof that if $a_{n+1} = \frac{1}{k}(a_n+\frac{k}{a_n})$ with $k>1$ and $a_1>0$, then $a_n\to\sqrt {\frac{k}{k-1}}$
Published on
15 Apr 2026 - 6:28
#real-analysis
#sequences-and-series
98
Views
Uniform Convergence of $\sum\limits_{n=1}^\infty \frac{(-1)^n}{n} x^n$
Published on
15 May 2026 - 3:10
#real-analysis
#sequences-and-series
#convergence-divergence
#uniform-convergence
70
Views
Direct Comparison Test (Divergence)
Published on
10 Apr 2026 - 17:35
#calculus
#sequences-and-series
362
Views
Prove $|\log(1-x)+x|\leqslant cx^2$
Published on
16 Apr 2026 - 19:57
#calculus
#real-analysis
#sequences-and-series
#taylor-expansion
202
Views
Sum of n terms of this series
Published on
10 May 2026 - 19:38
#sequences-and-series
#summation
#factorial
#fractions
#telescopic-series
157
Views
Finding general term of $\{x_n\}$ given $x_{m+n} = x_m + x_n + m\cdot n, \; \forall m, n \in \mathbb N$
Published on
17 Apr 2026 - 3:59
#sequences-and-series
#algebra-precalculus
101
Views
integrality of terms of a sequence
Published on
11 Apr 2026 - 23:08
#sequences-and-series
#number-theory
#recurrence-relations
721
Views
Find a polynomial function f(n) that follows the following sequence: 1,1,2,4,7,11,16,21
Published on
14 Apr 2026 - 21:28
#sequences-and-series
#sequence-of-function
401
Views
How many sequences length $n$, taken from $\{1,2,3,...,k\}$ that the sum of the $n$ elements in the sequence will be divisible by $k$.
Published on
10 May 2026 - 13:51
#sequences-and-series
#combinatorics
#permutations
#combinations
#multisets
70
Views
Find the largest prime factor of $1+f(1)+f(2)+f(3)+\dots+f(30)$ where $f(n)=n\cdot n!$
Published on
10 May 2026 - 18:30
#sequences-and-series
#functions
#factorial
#telescopic-series
69
Views
there are two cities P and Q separated by 60 km, two buses A and B start from P and Q respectively at 6AM and stop at 6PM how many times do they cross
Published on
17 Apr 2026 - 8:04
#sequences-and-series
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