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(Solved): Use mathematical induction to prove that the following formulas are true for all natural numbers n&g ...

Use mathematical induction to prove that the following formulas are true for all natural numbers n>=1. A
a. 2^0+2^1+2^2+...+2^n-1=2^n-1
b.1+4+7+...+(3n-2) = n(3n-1)/2