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Category: Arithmetic

Lets-p-N-and-n-N-A-n-2-n-p-and-d-n-PGCD-A-n-A-n-1-1-show-that-d-n-2-n-2-determine-the-parity-of-A-n-as-a-function-of-that-of-p-3-determine-the-parity-of-d-n-as-a-function-of-that-of

Question Number 102491 by pticantor last updated on 09/Jul/20 LetspNandnNAn=2n+panddn=PGCD(An,An+1)1)showthatdn/2n$$\left.\mathrm{2}\right)\boldsymbol{{determine}}\:\boldsymbol{{the}}\:\boldsymbol{{parity}}\:{of}\:\boldsymbol{{A}}_{{n}} \:{as}\:{a}\:{function}\:{of}\:{that}\:\boldsymbol{{of}}\:\boldsymbol{{p}}…

Question-167776

Question Number 167776 by peter frank last updated on 24/Mar/22 Answered by MikeH last updated on 24/Mar/22 ax2+bx+c=a(x2+bax+ca)$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:=\:{a}\left[\left({x}+\frac{{b}}{\mathrm{2}{a}}\right)^{\mathrm{2}} −\frac{{b}^{\mathrm{2}} }{\mathrm{4}{a}^{\mathrm{2}} }+\frac{{c}}{{a}}\right]…