List questions from arithmetic

Published on 15 Apr 2026 - 17:52

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If $a_1 = 1$ and $a_{n + 1} = 2a_n + 5$ for $n = 1, 2,\ldots$, then what is $a_{100}$ equal to?

Published on 14 Apr 2026 - 21:24

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Non-standard proofs of standard theorems

Published on 11 Apr 2026 - 21:07

102

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calculate average of second set

Published on 10 Apr 2026 - 23:21

58

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Solving system of 5 equations

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621

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Find the number of digits of $2013^{2013}$?

Published on 16 Apr 2026 - 13:12

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Division by subtraction - dividing the remainder by subtraction?

Published on 14 Apr 2026 - 18:29

156

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Necessary criterion for a field extension to be normal

Published on 13 Apr 2026 - 23:50

188

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property of sum in floating point arithmetic

Published on 10 Apr 2026 - 20:06

486

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Starting with $\frac{-1}{1}=\frac{1}{-1}$ and taking square root: proves $1=-1$

Published on 15 Apr 2026 - 21:55

64

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mean of two consecutive number helps proving both number equals..

Published on 14 Apr 2026 - 1:49

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Intuition behind multiplication

Published on 12 Apr 2026 - 15:58

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Multiplying two complex numbers using only three multiplications of real numbers

Published on 11 Apr 2026 - 15:55

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Simplify : $( \sqrt 5 + \sqrt6 + \sqrt7)(− \sqrt5 + \sqrt6 + \sqrt7)(\sqrt5 − \sqrt6 + \sqrt7)(\sqrt5 + \sqrt6 − \sqrt7) $

Published on 15 Apr 2026 - 23:07

55

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Automatic searches for solutions to a recreational problem

Published on 09 Apr 2026 - 13:12

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$2+2 = 5$? error in proof

If $a_1 = 1$ and $a_{n + 1} = 2a_n + 5$ for $n = 1, 2,\ldots$, then what is $a_{100}$ equal to?

Non-standard proofs of standard theorems

calculate average of second set

Solving system of 5 equations

Find the number of digits of $2013^{2013}$?

Division by subtraction - dividing the remainder by subtraction?

Necessary criterion for a field extension to be normal

property of sum in floating point arithmetic

Starting with $\frac{-1}{1}=\frac{1}{-1}$ and taking square root: proves $1=-1$

mean of two consecutive number helps proving both number equals..

Intuition behind multiplication

Multiplying two complex numbers using only three multiplications of real numbers

Simplify : $( \sqrt 5 + \sqrt6 + \sqrt7)(− \sqrt5 + \sqrt6 + \sqrt7)(\sqrt5 − \sqrt6 + \sqrt7)(\sqrt5 + \sqrt6 − \sqrt7) $

Automatic searches for solutions to a recreational problem

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