Menu Close

2016-2007-2018-2009-2020-2011-2022-

Tinku Tara 0 Comments
Pin




Question Number 70044 by naka3546 last updated on 30/Sep/19
(√(2016 + 2007(√(2018 + 2009(√(2020 + 2011(√(2022 + …)))))))) = ...
2016+20072018+20092020+20112022+…=…
Commented by Prithwish sen last updated on 30/Sep/19
(a−6)=(√((a−6)^2 ))=(√(a+(a^2 −13a+36))) = (√(a+(a−9)(a−4))) = (√(a+(a−9)(√((a−4)^2 )))) =(√(a+(a−9)(√((a+2)+(a−7)(a−2))))) =(√(a+(a−9)(√((a+2)+(a−7)(√((a−2)^2 )))))) =(√(a+(a−9)(√((a+2)+(a−7)(√((a+4)+(a−5)a)))))) =(√(a+(a−9)(√((a+2)+(a−7)(√((a+4)+(a−5)(√((a+6)+(a−3)(a+2))))))))) .......... putting a=2016 we get (√(2016+2007(√(2018+2009(√(2020+2011(√(2022+2013....)))))))) = 2010
(a−6)=(a−6)2=a+(a2−13a+36)=a+(a−9)(a−4)=a+(a−9)(a−4)2=a+(a−9)(a+2)+(a−7)(a−2)=a+(a−9)(a+2)+(a−7)(a−2)2=a+(a−9)(a+2)+(a−7)(a+4)+(a−5)a=a+(a−9)(a+2)+(a−7)(a+4)+(a−5)(a+6)+(a−3)(a+2)……….puttinga=2016weget2016+20072018+20092020+20112022+2013….=2010

Pin

Leave a Reply

Your email address will not be published. Required fields are marked *