what-are-the-next-two-number-of-this-series-4-7-9-2-5-6-3-8-

Question Number 90801 by john santu last updated on 26/Apr/20

$${what}\:{are}\:{the}\:{next}\:{two}\:{number}\: \\ $$$${of}\:{this}\:{series}\:\mathrm{4},\mathrm{7},\mathrm{9},\mathrm{2},\mathrm{5},\mathrm{6},\mathrm{3},\mathrm{8}\:? \\ $$

Commented by MJS last updated on 26/Apr/20

a_n =−((17)/(630))n^7 +((643)/(720))n^6 −((8683)/(720))n^5 +((12287)/(144))n^4 −((242917)/(720))n^3 +((263981)/(360))n^2 −((27791)/(35))n+328 a_9 =−122 a_(10) =−1163

$${a}_{{n}} =−\frac{\mathrm{17}}{\mathrm{630}}{n}^{\mathrm{7}} +\frac{\mathrm{643}}{\mathrm{720}}{n}^{\mathrm{6}} −\frac{\mathrm{8683}}{\mathrm{720}}{n}^{\mathrm{5}} +\frac{\mathrm{12287}}{\mathrm{144}}{n}^{\mathrm{4}} −\frac{\mathrm{242917}}{\mathrm{720}}{n}^{\mathrm{3}} +\frac{\mathrm{263981}}{\mathrm{360}}{n}^{\mathrm{2}} −\frac{\mathrm{27791}}{\mathrm{35}}{n}+\mathrm{328} \\ $$$${a}_{\mathrm{9}} =−\mathrm{122} \\ $$$${a}_{\mathrm{10}} =−\mathrm{1163} \\ $$

Commented by john santu last updated on 26/Apr/20

$${waw}…. \\ $$

Commented by MJS last updated on 27/Apr/20

you know this is only one possibility... the next two numbers can be any z_1 , z_2 ∈C

$$\mathrm{you}\:\mathrm{know}\:\mathrm{this}\:\mathrm{is}\:\mathrm{only}\:\mathrm{one}\:\mathrm{possibility}…\:\mathrm{the} \\ $$$$\mathrm{next}\:\mathrm{two}\:\mathrm{numbers}\:\mathrm{can}\:\mathrm{be}\:\mathrm{any}\:{z}_{\mathrm{1}} ,\:{z}_{\mathrm{2}} \:\in\mathbb{C} \\ $$

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