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an+1 + bn+1 .For what value of n,is an A.M of"a' and 'b". |
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Answer» Arithmetic mean of a and b is=[a+b]/2thus[a+b]/2=[a^n+1+b ^n+1]/a^n+b^n[a+b]/2=a^n*a+b^n*b/a^n+b^n (ax+y=ax*ay)Then by cross multiplication we geta^na+a^nb+b^na+b^nb=2a^na+2b^nba^nb+b^na=a^na+b^nba^nb-a^na=b^nb-b^naa^n(b-a)=b^n(b-a)a^n=b^na and b can only be = if n=0 (x^n=1)thus n=0 this ^ symbol means |
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