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Category: Algebra

If-a-n-3-a-n-1-a-n-1-and-a-0-1-a-2-2-find-a-n-

Question Number 93173 by I want to learn more last updated on 11/May/20 $$\mathrm{If}\:\:\:\:\:\mathrm{a}_{\mathrm{n}\:\:+\:\:\mathrm{3}} \:\:=\:\:\frac{\mathrm{a}_{\mathrm{n}\:\:−\:\:\mathrm{1}} }{\mathrm{a}_{\mathrm{n}\:\:+\:\:\mathrm{1}} }\:,\:\:\:\:\mathrm{and}\:\:\:\mathrm{a}_{\mathrm{0}} \:\:=\:\:\mathrm{1},\:\:\:\mathrm{a}_{\mathrm{2}} \:\:=\:\:\mathrm{2} \\ $$$$\mathrm{find}\:\:\:\mathrm{a}_{\mathrm{n}} \\ $$ Answered by…

18x-2-3y-1-9x-2-18y-2-3z-1-9y-2-18z-2-3x-1-9z-2-

Question Number 93138 by i jagooll last updated on 11/May/20 $$\begin{cases}{\mathrm{18x}^{\mathrm{2}} =\mathrm{3y}\left(\mathrm{1}+\mathrm{9x}^{\mathrm{2}} \right)}\\{\mathrm{18y}^{\mathrm{2}} =\mathrm{3z}\left(\mathrm{1}+\mathrm{9y}^{\mathrm{2}} \right)}\\{\mathrm{18z}^{\mathrm{2}} =\mathrm{3x}\left(\mathrm{1}+\mathrm{9z}^{\mathrm{2}} \right)}\end{cases} \\ $$ Answered by john santu last updated…

x-R-f-x-f-x-prove-f-x-y-f-x-f-y-

Question Number 158671 by mahdipoor last updated on 07/Nov/21 $$\forall{x}\in{R}\:;\:{f}\left({x}\right)={f}\:'\left({x}\right) \\ $$$${prove}\:{f}\left({x}+{y}\right)={f}\left({x}\right){f}\left({y}\right) \\ $$ Commented by mr W last updated on 07/Nov/21 $${generally} \\ $$$${for}\:{f}\left({x}+{y}\right)={f}\left({x}\right){f}\left({y}\right)\:{we}\:{have}\:…