I need help for 2 mathematical induction proof problems:
1) Show that 1 + x + x2 + ... + xn = (1 - xn) / (1 - x)
where x∈R-{1} and n∈N
2) If A is a et with n elements, show that it has 2n subsets (including Ø and itself)
if you could help me I would really appreciate it!!! thank you
1) Show that 1 + x + x2 + ... + xn = (1 - xn) / (1 - x)
where x∈R-{1} and n∈N
2) If A is a et with n elements, show that it has 2n subsets (including Ø and itself)
if you could help me I would really appreciate it!!! thank you