Question

Balls and Boxes

score 572 · Answer 1 · 2019-02-14 17:48:35

572

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Balls and Boxes

Published on 14 Feb 2019 - 17:48

score 1.1k · Answer 2 · 2019-02-15 00:44:44

1.1k

Views

In a geometric sequence, the sum of the first six terms is 9 times the sum of the first three terms. If the first term is f5, what is the third term?

Published on 15 Feb 2019 - 0:44

score 228 · Answer 3 · 2019-02-16 01:57:03

228

Views

Combinatorics leading to fibonacci sequence

Published on 16 Feb 2019 - 1:57

score 392 · Answer 4 · 2019-02-17 22:25:52

392

Views

How to calculate mod of number with big exponent

Published on 17 Feb 2019 - 22:25

score 78 · Answer 5 · 2026-03-25 20:27:27

78

Views

How do Peano's arithmetical axioms guarantee that we can construct the natural number set?

Published on 25 Mar 2026 - 20:27

score 2.2k · Answer 6 · 2019-02-18 06:51:57

2.2k

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How is rearranging $56\times 100\div 8$ into $56\div 8\times 100$ allowed by the commutative property?

Published on 18 Feb 2019 - 6:51

score 53 · Answer 7 · 2026-03-26 06:19:52

53

Views

Expanding this completing the square problem.

Published on 26 Mar 2026 - 6:19

score 1.8k · Answer 8 · 2019-02-20 11:28:43

1.8k

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Numbers of distinct values obtained by inserting $+ - \times \div ()$ in $\underbrace{2\quad2 \quad2 \quad2\quad...\quad 2}_{n \text{ times}}$

Published on 20 Feb 2019 - 11:28

score 79 · Answer 9 · 2019-02-21 06:58:38

79

Views

If $a, b, c, d$ exists s.t. $p=a^2+kb^2$, $pn=c^2+kd^2$, proof that integer $x, y$ such that $n=x^2+ky^2$ exists.

Published on 21 Feb 2019 - 6:58

score 40 · Answer 10 · 2026-03-26 07:58:50

40

Views

Find the net rate of interest

Published on 26 Mar 2026 - 7:58

score 47 · Answer 11 · 2026-03-25 06:04:45

47

Views

There is no $a, b, n \in N, b \ge 2 $ such $a^{b} = 2017^{n} +43$

Published on 25 Mar 2026 - 6:04

score 221 · Answer 12 · 2026-03-27 17:57:32

221

Views

Find the smallest $n \ge 1000$ such the sum $ 1+11+111+⋯+11⋯11 (n$ digits) is divisible by $101$

Published on 27 Mar 2026 - 17:57

score 30 · Answer 13 · 2019-02-23 11:26:51

30

Views

Rate of Percentage Charge

Published on 23 Feb 2019 - 11:26

score 182 · Answer 14 · 2019-02-27 15:07:17

182

Views

Arithmetic Sequence problem involving terms of the sequence and the value of that term

Published on 27 Feb 2019 - 15:07

score 41 · Answer 15 · 2026-03-28 01:13:41

41

Views

Coverting denary numbers into octal, binary and hexadecimal form

Published on 28 Mar 2026 - 1:13

List Question

Balls and Boxes

In a geometric sequence, the sum of the first six terms is 9 times the sum of the first three terms. If the first term is f5, what is the third term?

Combinatorics leading to fibonacci sequence

How to calculate mod of number with big exponent

How do Peano's arithmetical axioms guarantee that we can construct the natural number set?

How is rearranging $56\times 100\div 8$ into $56\div 8\times 100$ allowed by the commutative property?

Expanding this completing the square problem.

Numbers of distinct values obtained by inserting $+ - \times \div ()$ in $\underbrace{2\quad2 \quad2 \quad2\quad...\quad 2}_{n \text{ times}}$

If $a, b, c, d$ exists s.t. $p=a^2+kb^2$, $pn=c^2+kd^2$, proof that integer $x, y$ such that $n=x^2+ky^2$ exists.

Find the net rate of interest

There is no $a, b, n \in N, b \ge 2 $ such $a^{b} = 2017^{n} +43$

Find the smallest $n \ge 1000$ such the sum $ 1+11+111+⋯+11⋯11 (n$ digits) is divisible by $101$

Rate of Percentage Charge

Arithmetic Sequence problem involving terms of the sequence and the value of that term

Coverting denary numbers into octal, binary and hexadecimal form

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