Can you please assist with the induction step for this problem?
3. Prove that
1 + 2 + 2^2 + ... + 2^(n-1) = 2^n - 1
for every n > 1.
5. Prove that for any real number x and for all numbers n > 1,
x^n - 1 = (x - 1)(x^(n-1) + x^(n-2) + ... + x^(n-r) + ... + x + 1).© BrainMass Inc. brainmass.com March 5, 2021, 12:40 am ad1c9bdddf
This solution reviews the method of mathematical induction through working out these two questions step-by-step. From this one-page pdf solution attached, one will have a clear view of the mathematical induction.