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15
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Primes and infinite primes of the form $29 + 72k$

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#number-theory #elementary-number-theory #prime-numbers #arithmetic-progressions
159
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If $x$ be the $A.M$ between $y$ and$z$...

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#arithmetic-progressions
1k
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Quadratic with integer roots and coefficients in arithmetic progression

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#quadratics #arithmetic-progressions
406
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proving that $\frac{1}{\sqrt a + \sqrt b} +\frac{1}{\sqrt b + \sqrt c} + \frac{1}{\sqrt c + \sqrt d} = \frac{3}{\sqrt a + \sqrt d} $ for any A.P.

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#elementary-number-theory #arithmetic #radicals #fractions #arithmetic-progressions
583
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Olympiad problem - last $3$ digits of $3\times7\times11\times15\times19\times23\times...\times115\times119$

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#elementary-number-theory #contest-math #products #decimal-expansion #arithmetic-progressions
45
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Arithmetic properties of progressions

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#number-theory #arithmetic-progressions
904
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Number of possible values of $n$ of an AP

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#sequences-and-series #elementary-number-theory #arithmetic-progressions
118
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Finding $c$ given $a, ab, abc$ are in A.P

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#arithmetic-progressions
500
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Find parameter so that the equation has roots in arithmetic progression

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#polynomials #roots #arithmetic-progressions
254
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To prove $\sum_{cyc}\frac{1}{a^3+b^3+abc} \le \frac{1}{abc}$

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#inequality #arithmetic-progressions #cauchy-schwarz-inequality #rearrangement-inequality
277
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To find number of numbers $\le100$ and divisible by $2$

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#combinatorics #arithmetic-progressions
25
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How to do this sum regarding series?

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#sequences-and-series #arithmetic-progressions
8k
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How to find the sum of the series $(1) + (2 + 3) +(4 + 5 + 6) + \cdots$ to $n$ terms?

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#sequences-and-series #summation #arithmetic-progressions
232
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How to find the common difference in this case?

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#sequences-and-series #arithmetic-progressions
484
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What is the sum of the first $p+q $ terms of this A.P.?

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#sequences-and-series #arithmetic-progressions

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