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$$\frac{2}{\sqrt{3}+\sqrt{1}}$$, $$\frac{2}{\sqrt{5}+\sqrt{3}}$$, $$\frac{2}{\sqrt{7}+\sqrt{5}}$$, .............., $$\frac{2}{\sqrt{121}+\sqrt{119}}$$
Consider the sequence above, where the $$k^{th}$$ term is equal to $$\frac{2}{\sqrt{2k+1}+\sqrt{2k-1}}$$ for each integer $$k$$ from 1 to 60. What is the sum of the 60 terms of the sequence?
Consider the sequence above, where the $$k^{th}$$ term is equal to $$\frac{2}{\sqrt{2k+1}+\sqrt{2k-1}}$$ for each integer $$k$$ from 1 to 60. What is the sum of the 60 terms of the sequence?
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· 相关考点
2.2.3 无理数的定义
2.2.3 无理数的定义
以上解析由 考满分老师提供。