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Category: Arithmetic

find-approximately-and-quickly-without-calculator-54329-2467-

Question Number 22076 by ajfour last updated on 10/Oct/17 findapproximatelyandquicklywithoutcalculator543292467. Commented by ajfour last updated on 10/Oct/17 myway:$$\:\frac{\mathrm{54329}}{\mathrm{2467}}\approx\frac{\mathrm{543}.\mathrm{3}}{\mathrm{24}.\mathrm{67}}\:\approx\:\frac{\mathrm{543}.\mathrm{3}+\frac{\mathrm{1}}{\mathrm{3}}×\mathrm{22}}{\mathrm{24}.\mathrm{67}+\frac{\mathrm{1}}{\mathrm{3}}} \

Which-of-the-two-numbers-1-2-2-2-2-3-2-n-1-1-2-2-2-2-3-2-n-and-1-3-3-2-3-3-3-n-1-1-3-3-2-3-3-3-n-is-greater-

Question Number 87563 by Serlea last updated on 05/Apr/20 Whichofthetwonumbers1+2+22+23++2n11+2+22+23++2nand$$\frac{\mathrm{1}+\mathrm{3}+\mathrm{3}^{\mathrm{2}} +\mathrm{3}^{\mathrm{3}} +…+\mathrm{3}^{\mathrm{n}−\mathrm{1}} }{\mathrm{1}+\mathrm{3}+\mathrm{3}^{\mathrm{2}} +\mathrm{3}^{\mathrm{3}} +…+\mathrm{3}^{\mathrm{n}}…