Prove by the principle of Mathematical induction |a + ar + ar^2 + …. + ar^(n-1) = a(r^n -1)/(r-1)

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Prove by the principle of Mathematical induction for all n belongs to N | a + ar + ar^2 + …. + ar^(n-1) = a(r^n -1)/(r-1)
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If we multiply ar to the power k with r how it truned out to be ar to the power k+1

subhasmitabaliarsingh
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Prove by Induction a + ar + ar² + ... arn-1 = a(1-r") 1-r r≠0.

sujalgamer