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## Homework Statement

Use mathematical induction to show that when n = 2,3,...,

[tex]\overline{z_1+z_2+\cdots +z_n} = \bar{z_1} + \bar{z_2} + \cdots + \bar{z_n}[/tex]

## Homework Equations

[tex]\overline{z_1 + z_2} = \bar{z_1} + \bar{z_2}[/tex]

## The Attempt at a Solution

So help me get started on the first step because I am new to induction. The only proofs I've done/seen (not many) were proved for each [tex]n \in N[/tex]. With that said how do I even start by showing that P(1) holds because the n = 2, 3, ... is throwing me off because 1 is not in there. Does it mean show for all numbers starting from 2? So should I be proving P(2) holds in the first step? Thank you.