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Find-the-value-of-this-expression-1-2-2-1-3-2-2-2-4-2-3-3-2019-2-2018-2018-




Question Number 165383 by naka3546 last updated on 01/Feb/22
Find  the  value  of  this  expression  (−1)(2^2 −1)+(((3^2 −2))/(2!)) − (((4^2 −3))/(3!)) + …+ (((2019^2 −2018))/(2018!))
$${Find}\:\:{the}\:\:{value}\:\:{of}\:\:{this}\:\:{expression} \\ $$$$\left(−\mathrm{1}\right)\left(\mathrm{2}^{\mathrm{2}} −\mathrm{1}\right)+\frac{\left(\mathrm{3}^{\mathrm{2}} −\mathrm{2}\right)}{\mathrm{2}!}\:−\:\frac{\left(\mathrm{4}^{\mathrm{2}} −\mathrm{3}\right)}{\mathrm{3}!}\:+\:\ldots+\:\frac{\left(\mathrm{2019}^{\mathrm{2}} −\mathrm{2018}\right)}{\mathrm{2018}!} \\ $$

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