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Use induction to prove that, for n>=0:

3*5^0 + 3*5^1 + 3*5^2 + 3*5^3 + ...+ 3*5^n = 3*(5^(n+1)-1)/4

in other word

n

[tex]\sum[/tex] 3*5 k= 3*(5 n+1-1) / 4

k= 0

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# Proof by induction

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