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Fawkes4494d3
  • Member for 6 years, 11 months
  • Last seen more than a month ago
  • India
14 votes

$\frac{1}{A_1A_2}=\frac{1}{A_1A_3}+\frac{1}{A_1A_4}$.Then find the value of $n$

13 votes

Prove that 10101...10101 is NOT a prime.

8 votes
Accepted

Shorter way to calculate number of ways to distribute varying number of balls into 3 distinct boxes such that sum of balls $\leq$ 99

8 votes

Prove that if x,y,z are positive integers such that $x^3+y^3+z^3=3(x+y+z+xyz)$ then they must be consecutive numbers

6 votes

Numbers from $1,\frac12,\frac13,...........\frac{1}{2010}$ are written and any two $x,y$ are taken and we replace $x,y$ by just $x+y+xy$

6 votes
Accepted

Evaluating $\sum_{n=k}^{\infty} \frac{1}{ \binom{n}{k}}$

5 votes
Accepted

Calculate Probability of arrangements

4 votes

$|_{x=1}$ notation?

4 votes

Alternating Sequences of Length five

3 votes

Maximize $\frac{xe^x}{e^x-1}$

3 votes

Can a critical point be a minima or maxima even if its $f ''(c)=0$?

3 votes
Accepted

Prove that if $YA\cdot YB=YX\cdot YM$ then $(A,B;X,Y)=-1$ .

3 votes

Semicircle Question

3 votes
Accepted

Find the length of $DE$

3 votes
Accepted

Median of triangle and tangents

3 votes

How to calculate the length $AH$?

2 votes

how to prove the binomial equation below

2 votes

How to compute a simple sum

2 votes

In an isosceles triangle with base $AB$ and $\angle CAB=80^\circ$ taken $D$ on $CA$, $E$ on $CB$ such that ...

2 votes

How to solve in terms of k the following equation?

2 votes
Accepted

Show that $A^2=A$ suppose that A is normal and $A^5=A^4$

2 votes

Sum coefficients

2 votes
Accepted

Question about convexity: how do we prove that $\displaystyle \sum_{i=1}^{k}p_{i}b_{i}\geq\prod_{i=1}^{k}b^{p_{i}}_{i}$?

2 votes

How to prove that $f: \mathbb{R} \to \mathbb{R}$ is continuous, given that $xy-y^2 \leq f(x)-f(y) \leq x^2-xy$?

2 votes

Is it possible to solve this identity by "inspection"?

2 votes
Accepted

Pdf of $Y = X^2$ when $X$ has pdf $f(x) = 2x$ for $0 < x < 1$

2 votes

Was I on the right track with this circle-tangent geometry problem solution? How are you supposed to solve it?

2 votes
Accepted

Two diagonals of a regular heptagon are chosen. What is the probability that they intersect inside the heptagon?

2 votes
Accepted

Covariance matrix final form

2 votes
Accepted

Show that if $s_n$ converges to $\beta$, then $t_n$ converges to $\beta/2$.