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find-nth-term-of-1-4-16-74-404-2578-




Question Number 189613 by mokys last updated on 19/Mar/23
find nth term of (1,4,16,74,404,2578) ?
$${find}\:{nth}\:{term}\:{of}\:\left(\mathrm{1},\mathrm{4},\mathrm{16},\mathrm{74},\mathrm{404},\mathrm{2578}\right)\:? \\ $$
Answered by Frix last updated on 19/Mar/23
One of infinite possibilities:  a_n =((1157n^5 )/(120))−((547n^4 )/4)+((17927n^3 )/(24))−((7705n^2 )/4)+((11527n)/5)−998
$$\mathrm{One}\:\mathrm{of}\:\mathrm{infinite}\:\mathrm{possibilities}: \\ $$$${a}_{{n}} =\frac{\mathrm{1157}{n}^{\mathrm{5}} }{\mathrm{120}}−\frac{\mathrm{547}{n}^{\mathrm{4}} }{\mathrm{4}}+\frac{\mathrm{17927}{n}^{\mathrm{3}} }{\mathrm{24}}−\frac{\mathrm{7705}{n}^{\mathrm{2}} }{\mathrm{4}}+\frac{\mathrm{11527}{n}}{\mathrm{5}}−\mathrm{998} \\ $$

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