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JUST-FOR-FUN-1-2-2-3-1-8-5-8-3-what-do-you-think-is-the-next-number-why-




Question Number 79792 by mr W last updated on 28/Jan/20
JUST FOR FUN    (1/2), (2/3), 1, (8/5), (8/3), ?  what do you think is the next number ?  why?
$${JUST}\:{FOR}\:{FUN} \\ $$$$ \\ $$$$\frac{\mathrm{1}}{\mathrm{2}},\:\frac{\mathrm{2}}{\mathrm{3}},\:\mathrm{1},\:\frac{\mathrm{8}}{\mathrm{5}},\:\frac{\mathrm{8}}{\mathrm{3}},\:? \\ $$$${what}\:{do}\:{you}\:{think}\:{is}\:{the}\:{next}\:{number}\:? \\ $$$${why}? \\ $$
Commented by jagoll last updated on 28/Jan/20
((91)/(30))
$$\frac{\mathrm{91}}{\mathrm{30}} \\ $$
Answered by MJS last updated on 28/Jan/20
one of a zillion possibilities:  a_n =(2^(n−1) /(n+1))  a_6 =((32)/7)
$$\mathrm{one}\:\mathrm{of}\:\mathrm{a}\:\mathrm{zillion}\:\mathrm{possibilities}: \\ $$$${a}_{{n}} =\frac{\mathrm{2}^{{n}−\mathrm{1}} }{{n}+\mathrm{1}} \\ $$$${a}_{\mathrm{6}} =\frac{\mathrm{32}}{\mathrm{7}} \\ $$
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.
$${this}\:{is}\:{the}\:{answer}\:{which}\:{the}\:{teacher} \\ $$$${from}\:{my}\:{friend}'{s}\:{son}\:{accepted}\:{as} \\ $$$${correct}. \\ $$

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