Question Number 158379 by Khalmohmmad last updated on 03/Nov/21
$${F}\left({x}+\mathrm{1}\right)−{F}\left({x}−\mathrm{1}\right)=\mathrm{6} \\ $$$${F}\left(\mathrm{0}\right)=\mathrm{4} \\ $$$${F}\left(\mathrm{3}\right)=? \\ $$
Commented by mr W last updated on 03/Nov/21
$${you}\:{can}\:{get}\:{F}\left({x}+\mathrm{2}\right)={F}\left({x}\right)+\mathrm{6}. \\ $$$${so}\:{you}\:{can}\:{only}\:{find}\:{F}\left(\mathrm{2}{n}\right)\:{from}\:{F}\left(\mathrm{0}\right) \\ $$$${and}\:{you}\:{can}\:{not}\:{find}\:{F}\left(\mathrm{2}{n}+\mathrm{1}\right).{so} \\ $$$${F}\left(\mathrm{3}\right)\:{can}\:{be}\:{any}\:{value}. \\ $$