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Mathematics
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Gayatri's user avatar
Gayatri's user avatar
Gayatri
  • Member for 8 years, 11 months
  • Last seen more than 2 years ago
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question
11
$3^{n+1}$ divides $2^{3^n}+1$
Dec 28, 2015
question
9
Prove that $1^k + 2^k + \cdots + n^k$ is divisible by $1 + 2 + \cdots + n$
May 20, 2016
question
8
Determine d-b if $a^5=b^4,c^3=d^2,c-a=19$ if $a,b,c,d$ are integers.
Sep 4, 2016
question
7
Find $2^k$ elements from the set ${0,1,\cdots,3^k-1}$ such that none of these element is the average of two other elements of $T$.
Jun 15, 2016
question
5
Choosing $3$ objects from $32$ equidistant objects on a circle with restrictions given.
Dec 6, 2015
question
5
Proof for sum of product of four consecutive integers
May 26, 2017
question
4
Sum of $(a+\frac{1}{a})^2$ and $(b+\frac{1}{b})^2$
Nov 3, 2015
question
4
Prove that there is a unique positive integer $n$ such that $2^8 + 2^{11} + 2^n$ is a perfect square. [duplicate]
Jun 6, 2016
question
3
Given integer roots of $x^2+mx-n=0$ and $x^2-mx+n=0$. Show $6 \mid n$.
Oct 25, 2015
question
3
What is the exact statement of Menelaus' Theorem?
Nov 13, 2015