Question Number 185684 by Shrinava last updated on 25/Jan/23
$$\mathrm{17}\:,\:\mathrm{78},\:\mathrm{143},\:\mathrm{353},\:? \\ $$$$\left.\mathrm{a}\left.\right)\left.\mathrm{3}\left.\mathrm{66}\:\:\:\:\:\mathrm{b}\right)\mathrm{0}\:\:\:\:\:\mathrm{c}\right)\mathrm{398}\:\:\:\:\:\mathrm{d}\right)\mathrm{435} \\ $$
Commented by Frix last updated on 25/Jan/23
$$\mathrm{42} \\ $$$$\left(\mathrm{Try}\:\mathrm{to}\:\mathrm{prove}\:\mathrm{it}'\mathrm{s}\:\mathrm{not}…\right) \\ $$
Commented by Shrinava last updated on 25/Jan/23
$$\mathrm{How}\:\mathrm{can}\:\mathrm{you}\:\mathrm{prove}\:\mathrm{something}\:\mathrm{that} \\ $$$$\mathrm{doesn}'\mathrm{t}\:\mathrm{exist}? \\ $$
Commented by Shrinava last updated on 25/Jan/23
$$\mathrm{71}\:+\:\mathrm{1}\:\centerdot\:\mathrm{7}\:=\:\mathrm{78} \\ $$$$\mathrm{87}\:+\:\mathrm{7}\:\centerdot\:\mathrm{8}\:=\:\mathrm{143} \\ $$$$\mathrm{341}\:+\:\mathrm{1}\:\centerdot\:\mathrm{4}\:\centerdot\:\mathrm{3}\:=\:\mathrm{353} \\ $$$$\left.\mathrm{353}\:+\:\mathrm{3}\:\centerdot\:\mathrm{5}\:\centerdot\:\mathrm{3}\:=\:?\:=\:\mathrm{398}\:\Rightarrow\:\mathrm{b}\right)\mathrm{398} \\ $$
Commented by mr W last updated on 25/Jan/23
$${guess}\:{what}\:{an}\:{other}\:{man}\:{or}\:{woman} \\ $$$${thinks},\:{this}\:{has}\:{nothing}\:{to}\:{do}\:{with} \\ $$$${mathematics}\:{and}\:{with}\:{intellegence}, \\ $$$${at}\:{most}\:{just}\:{a}\:{stupid}\:{game}. \\ $$$${can}\:{you}\:{say}\:{what}'{s}\:{the}\:{next}\:{number}? \\ $$$$\mathrm{1},\mathrm{2},\mathrm{3},\mathrm{4},? \\ $$
Commented by Shrinava last updated on 25/Jan/23
$$\mathrm{Of}\:\mathrm{course}\:\mathrm{yes}\:\mathrm{you}\:\mathrm{are}\:\mathrm{correct}\:\:\mathrm{dear}\:\mathrm{professor}… \\ $$$$\mathrm{For}\:\mathrm{example}: \\ $$$$\mathrm{1},\mathrm{2},\mathrm{3},\mathrm{4},\mathrm{5},\mathrm{8},?,? \\ $$$$\Rightarrow\mathrm{1},\underset{\mathrm{2}^{\mathrm{1}} } {\mathrm{2}},\mathrm{3},\underset{\mathrm{2}^{\mathrm{2}} } {\mathrm{4}},\mathrm{5},\underset{\mathrm{2}^{\mathrm{3}} } {\mathrm{8}},\underline{\mathrm{7},\underset{\mathrm{2}^{\mathrm{4}} } {\mathrm{16}}} \\ $$$$\Rightarrow\:\mathrm{a}_{\boldsymbol{\mathrm{n}}} =\begin{cases}{\mathrm{n}\:\:\mathrm{if}\:\:\mathrm{n}\:\:\mathrm{is}\:\mathrm{odd}}\\{\mathrm{2}^{\frac{\boldsymbol{\mathrm{n}}}{\mathrm{2}}} \:\:\mathrm{if}\:\:\mathrm{n}\:\:\mathrm{is}\:\mathrm{even}}\end{cases}\:\:\:\Rightarrow\:\:\:\mathrm{a}_{\boldsymbol{\mathrm{n}}} \:=\:? \\ $$
Commented by mr W last updated on 26/Jan/23
$${wrong}!\:{because}\:{i}\:{meant} \\ $$$$\mathrm{1},\mathrm{2},\mathrm{3},\mathrm{4},\mathrm{10},\mathrm{11},\mathrm{12},\mathrm{13},\mathrm{14},\mathrm{20},\mathrm{21},… \\ $$$${therefore}\:{such}\:{questions}\:{are}\:{purely} \\ $$$${non}−{sense}. \\ $$
Commented by Rajpurohith last updated on 26/Jan/23
assume that it exists and try to disprove ur assumption