Homework Statement
By mathematical induction, prove that for n ≥ 1, 4/(7n - 3n).
Homework Equations
The Attempt at a Solution
I got the base case down P(1): 7-3=4.
Now the actual problem,
7n - 3n = 4x
7n+1 - 3n+1 = 7(7n) - 3(3n)
=7(4x + 3n) - 3(7n - 4x)
=21x+ (7(3n)) - (3(7n)) + 12x
-This...