What does the math term inductive mean?

Answer 1

The math term inductive means estimating within a known set of data.

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I think the above answer has confused "inductive" with "interpolation".

Typically, inductive reasoning is a tool which is used to prove a statement for all integers, n. If you can show that a statement is

1. true for n = 1.
2. if it is true for some value n = k you prove that it must be true for n=k+1, then

by the induction, you have proved that it is true for all values of n.