Question Number 79792 by mr W last updated on 28/Jan/20
$${JUST}\:{FOR}\:{FUN} \\ $$$$ \\ $$$$\frac{\mathrm{1}}{\mathrm{2}},\:\frac{\mathrm{2}}{\mathrm{3}},\:\mathrm{1},\:\frac{\mathrm{8}}{\mathrm{5}},\:\frac{\mathrm{8}}{\mathrm{3}},\:? \\ $$$${what}\:{do}\:{you}\:{think}\:{is}\:{the}\:{next}\:{number}\:? \\ $$$${why}? \\ $$
Commented by jagoll last updated on 28/Jan/20
$$\frac{\mathrm{91}}{\mathrm{30}} \\ $$
Answered by MJS last updated on 28/Jan/20
$$\mathrm{one}\:\mathrm{of}\:\mathrm{a}\:\mathrm{zillion}\:\mathrm{possibilities}: \\ $$$${a}_{{n}} =\frac{\mathrm{2}^{{n}−\mathrm{1}} }{{n}+\mathrm{1}} \\ $$$${a}_{\mathrm{6}} =\frac{\mathrm{32}}{\mathrm{7}} \\ $$
Commented by mr W last updated on 28/Jan/20
$${this}\:{is}\:{the}\:{answer}\:{which}\:{the}\:{teacher} \\ $$$${from}\:{my}\:{friend}'{s}\:{son}\:{accepted}\:{as} \\ $$$${correct}. \\ $$