To the utmost, as in They'd decked out the house to the nth degree. This expression comes from mathematics, where to the nth means "to any required power" (n standing for any number). It was first recorded in 1852.
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Indices is the plural of index. In mathematics, the index most commonly refers to the exponent or a degree of an nth root.
123456789 * * * * * The nth term is 3n
11
Any number can be the nth term of a suitable AP.
It is: nth term = 7n-9