神马作文网If and n is a positive integer,show that (a^(n+1)+n* b^ (n+1
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If and n is a positive integer,show that (a^(n+1)+n* b^ (n+1)) / (n+1) 大于 a* b^(n)
如果n是一个正整数,证明 (a^(n+1)+n* b^ (n+1)) / (n+1) 大于 a* b^(n).希望在1天内有答复
i forgot the equal sign ,srry
如果n是一个正整数,证明 (a^(n+1)+n* b^ (n+1)) / (n+1) 大于 a* b^(n).希望在1天内有答复
i forgot the equal sign ,srry
n* b^ (n+1)看做是n个b^ (n+1)相加
(a^(n+1)+n* b^ (n+1)) / (n+1)那么这个就是n+1个数的算术平均数
a* b^(n)是 n个b^ (n+1)与a^(n+1)的几何平均数
根据高中的基本不等式的定理可知
(a^(n+1)+n* b^ (n+1)) / (n+1) ≥ a* b^(n）
（等号成立的条件是a^(n+1)= b^ (n+1））
(a^(n+1)+n* b^ (n+1)) / (n+1)那么这个就是n+1个数的算术平均数
a* b^(n)是 n个b^ (n+1)与a^(n+1)的几何平均数
根据高中的基本不等式的定理可知
(a^(n+1)+n* b^ (n+1)) / (n+1) ≥ a* b^(n）
（等号成立的条件是a^(n+1)= b^ (n+1））
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