Use mathematical induction to prove that 
for all integers 
.
Definitions:
BCa Confidence Intervals
A type of confidence interval used in statistics that adjusts for both bias and skewness in bootstrapping, providing a more accurate interval estimate.
Statistic
A numerical value that summarizes or describes a characteristic of a sample of data.
Permutation Test
A nonparametric method to determine statistical significance by computing all possible arrangements of observed data.
Two-Sample T Test
A statistical method used to compare the means of two independent samples to determine if there is a significant difference between them.
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